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155,040

155,040 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.).

155,040 (one hundred fifty-five thousand forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 17 × 19. Its proper divisors sum to 389,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x25DA0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
40,551
Recamán's sequence
a(478,039) = 155,040
Square (n²)
24,037,401,600
Cube (n³)
3,726,758,744,064,000
Divisor count
96
σ(n) — sum of divisors
544,320
φ(n) — Euler's totient
36,864
Sum of prime factors
54

Primality

Prime factorization: 2 5 × 3 × 5 × 17 × 19

Nearest primes: 155,027 (−13) · 155,047 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 17 · 19 · 20 · 24 · 30 · 32 · 34 · 38 · 40 · 48 · 51 · 57 · 60 · 68 · 76 · 80 · 85 · 95 · 96 · 102 · 114 · 120 · 136 · 152 · 160 · 170 · 190 · 204 · 228 · 240 · 255 · 272 · 285 · 304 · 323 · 340 · 380 · 408 · 456 · 480 · 510 · 544 · 570 · 608 · 646 · 680 · 760 · 816 · 912 · 969 · 1020 · 1140 · 1292 · 1360 · 1520 · 1615 · 1632 · 1824 · 1938 · 2040 · 2280 · 2584 · 2720 · 3040 · 3230 · 3876 · 4080 · 4560 · 4845 · 5168 · 6460 · 7752 · 8160 · 9120 · 9690 · 10336 · 12920 · 15504 · 19380 · 25840 · 31008 · 38760 · 51680 · 77520 (half) · 155040
Aliquot sum (sum of proper divisors): 389,280
Factor pairs (a × b = 155,040)
1 × 155040
2 × 77520
3 × 51680
4 × 38760
5 × 31008
6 × 25840
8 × 19380
10 × 15504
12 × 12920
15 × 10336
16 × 9690
17 × 9120
19 × 8160
20 × 7752
24 × 6460
30 × 5168
32 × 4845
34 × 4560
38 × 4080
40 × 3876
48 × 3230
51 × 3040
57 × 2720
60 × 2584
68 × 2280
76 × 2040
80 × 1938
85 × 1824
95 × 1632
96 × 1615
102 × 1520
114 × 1360
120 × 1292
136 × 1140
152 × 1020
160 × 969
170 × 912
190 × 816
204 × 760
228 × 680
240 × 646
255 × 608
272 × 570
285 × 544
304 × 510
323 × 480
340 × 456
380 × 408
First multiples
155,040 · 310,080 (double) · 465,120 · 620,160 · 775,200 · 930,240 · 1,085,280 · 1,240,320 · 1,395,360 · 1,550,400

Sums & aliquot sequence

As consecutive integers: 51,679 + 51,680 + 51,681 31,006 + 31,007 + 31,008 + 31,009 + 31,010 10,329 + 10,330 + … + 10,343 9,112 + 9,113 + … + 9,128
Aliquot sequence: 155,040 389,280 838,464 1,587,744 3,080,556 4,706,496 8,785,476 17,247,804 29,569,260 69,198,612 117,079,788 195,133,204 201,539,436 354,285,204 663,152,364 1,400,989,716 2,750,093,164 — unresolved within range

Continued fraction of √n

√155,040 = [393; (1, 3, 52, 3, 1, 786)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred fifty-five thousand forty
Ordinal
155040th
Binary
100101110110100000
Octal
456640
Hexadecimal
0x25DA0
Base64
Al2g
One's complement
4,294,812,255 (32-bit)
Scientific notation
1.5504 × 10⁵
As a duration
155,040 s = 1 day, 19 hours, 4 minutes
In other bases
ternary (3) 21212200020
quaternary (4) 211312200
quinary (5) 14430130
senary (6) 3153440
septenary (7) 1214004
nonary (9) 255606
undecimal (11) a6536
duodecimal (12) 75880
tridecimal (13) 55752
tetradecimal (14) 40704
pentadecimal (15) 30e10
Palindromic in base 14

As an angle

155,040° = 430 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρνεμʹ
Mayan (base 20)
𝋳·𝋧·𝋬·𝋠
Chinese
一十五萬五千零四十
Chinese (financial)
壹拾伍萬伍仟零肆拾
In other modern scripts
Eastern Arabic ١٥٥٠٤٠ Devanagari १५५०४० Bengali ১৫৫০৪০ Tamil ௧௫௫௦௪௦ Thai ๑๕๕๐๔๐ Tibetan ༡༥༥༠༤༠ Khmer ១៥៥០៤០ Lao ໑໕໕໐໔໐ Burmese ၁၅၅၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 155040, here are decompositions:

  • 13 + 155027 = 155040
  • 23 + 155017 = 155040
  • 31 + 155009 = 155040
  • 37 + 155003 = 155040
  • 59 + 154981 = 155040
  • 97 + 154943 = 155040
  • 103 + 154937 = 155040
  • 107 + 154933 = 155040

Showing the first eight; more decompositions exist.

Unicode codepoint
𥶠
CJK Unified Ideograph-25Da0
U+25DA0
Other letter (Lo)

UTF-8 encoding: F0 A5 B6 A0 (4 bytes).

Hex color
#025DA0
RGB(2, 93, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.93.160.

Address
0.2.93.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.93.160

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 155,040 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 155040 first appears in π at position 652,154 of the decimal expansion (the 652,154ordinal-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°.