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159,120

159,120 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

159,120 (one hundred fifty-nine thousand one hundred twenty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 13 × 17. Its proper divisors sum to 450,216, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x26D90.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
21,951
Square (n²)
25,319,174,400
Cube (n³)
4,028,787,030,528,000
Divisor count
120
σ(n) — sum of divisors
609,336
φ(n) — Euler's totient
36,864
Sum of prime factors
49

Primality

Prime factorization: 2 4 × 3 2 × 5 × 13 × 17

Nearest primes: 159,119 (−1) · 159,157 (+37)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 16 · 17 · 18 · 20 · 24 · 26 · 30 · 34 · 36 · 39 · 40 · 45 · 48 · 51 · 52 · 60 · 65 · 68 · 72 · 78 · 80 · 85 · 90 · 102 · 104 · 117 · 120 · 130 · 136 · 144 · 153 · 156 · 170 · 180 · 195 · 204 · 208 · 221 · 234 · 240 · 255 · 260 · 272 · 306 · 312 · 340 · 360 · 390 · 408 · 442 · 468 · 510 · 520 · 585 · 612 · 624 · 663 · 680 · 720 · 765 · 780 · 816 · 884 · 936 · 1020 · 1040 · 1105 · 1170 · 1224 · 1326 · 1360 · 1530 · 1560 · 1768 · 1872 · 1989 · 2040 · 2210 · 2340 · 2448 · 2652 · 3060 · 3120 · 3315 · 3536 · 3978 · 4080 · 4420 · 4680 · 5304 · 6120 · 6630 · 7956 · 8840 · 9360 · 9945 · 10608 · 12240 · 13260 · 15912 · 17680 · 19890 · 26520 · 31824 · 39780 · 53040 · 79560 (half) · 159120
Aliquot sum (sum of proper divisors): 450,216
Factor pairs (a × b = 159,120)
1 × 159120
2 × 79560
3 × 53040
4 × 39780
5 × 31824
6 × 26520
8 × 19890
9 × 17680
10 × 15912
12 × 13260
13 × 12240
15 × 10608
16 × 9945
17 × 9360
18 × 8840
20 × 7956
24 × 6630
26 × 6120
30 × 5304
34 × 4680
36 × 4420
39 × 4080
40 × 3978
45 × 3536
48 × 3315
51 × 3120
52 × 3060
60 × 2652
65 × 2448
68 × 2340
72 × 2210
78 × 2040
80 × 1989
85 × 1872
90 × 1768
102 × 1560
104 × 1530
117 × 1360
120 × 1326
130 × 1224
136 × 1170
144 × 1105
153 × 1040
156 × 1020
170 × 936
180 × 884
195 × 816
204 × 780
208 × 765
221 × 720
234 × 680
240 × 663
255 × 624
260 × 612
272 × 585
306 × 520
312 × 510
340 × 468
360 × 442
390 × 408
First multiples
159,120 · 318,240 (double) · 477,360 · 636,480 · 795,600 · 954,720 · 1,113,840 · 1,272,960 · 1,432,080 · 1,591,200

Sums & aliquot sequence

As a sum of two squares: 48² + 396² = 108² + 384² = 144² + 372² = 276² + 288²
As consecutive integers: 53,039 + 53,040 + 53,041 31,822 + 31,823 + 31,824 + 31,825 + 31,826 17,676 + 17,677 + … + 17,684 12,234 + 12,235 + … + 12,246
Aliquot sequence: 159,120 450,216 905,814 1,583,946 2,644,278 4,129,482 5,309,430 9,440,778 9,471,318 9,471,330 18,337,374 26,118,306 32,298,078 33,874,098 37,859,502 37,859,514 62,212,422 — unresolved within range

Continued fraction of √n

√159,120 = [398; (1, 8, 1, 5, 1, 2, 3, 1, 4, 1, 3, 2, 1, 5, 1, 8, 1, 796)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred fifty-nine thousand one hundred twenty
Ordinal
159120th
Binary
100110110110010000
Octal
466620
Hexadecimal
0x26D90
Base64
Am2Q
One's complement
4,294,808,175 (32-bit)
Scientific notation
1.5912 × 10⁵
As a duration
159,120 s = 1 day, 20 hours, 12 minutes
In other bases
ternary (3) 22002021100
quaternary (4) 212312100
quinary (5) 20042440
senary (6) 3224400
septenary (7) 1231623
nonary (9) 262240
undecimal (11) a9605
duodecimal (12) 78100
tridecimal (13) 57570
tetradecimal (14) 41dba
pentadecimal (15) 32230

As an angle

159,120° = 442 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ρνθρκʹ
Mayan (base 20)
𝋳·𝋱·𝋰·𝋠
Chinese
一十五萬九千一百二十
Chinese (financial)
壹拾伍萬玖仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٥٩١٢٠ Devanagari १५९१२० Bengali ১৫৯১২০ Tamil ௧௫௯௧௨௦ Thai ๑๕๙๑๒๐ Tibetan ༡༥༩༡༢༠ Khmer ១៥៩១២០ Lao ໑໕໙໑໒໐ Burmese ၁၅၉၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 159120, here are decompositions:

  • 7 + 159113 = 159120
  • 23 + 159097 = 159120
  • 41 + 159079 = 159120
  • 47 + 159073 = 159120
  • 61 + 159059 = 159120
  • 97 + 159023 = 159120
  • 103 + 159017 = 159120
  • 107 + 159013 = 159120

Showing the first eight; more decompositions exist.

Unicode codepoint
𦶐
CJK Unified Ideograph-26D90
U+26D90
Other letter (Lo)

UTF-8 encoding: F0 A6 B6 90 (4 bytes).

Hex color
#026D90
RGB(2, 109, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.109.144.

Address
0.2.109.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.109.144

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 159,120 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 159120 first appears in π at position 720,348 of the decimal expansion (the 720,348ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.