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162,240

162,240 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.).

162,240 (one hundred sixty-two thousand two hundred forty) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3 × 5 × 13². Its proper divisors sum to 395,544, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x279C0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence 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
42,261
Recamán's sequence
a(474,807) = 162,240
Square (n²)
26,321,817,600
Cube (n³)
4,270,451,687,424,000
Divisor count
84
σ(n) — sum of divisors
557,784
φ(n) — Euler's totient
39,936
Sum of prime factors
46

Primality

Prime factorization: 2 6 × 3 × 5 × 13 2

Nearest primes: 162,229 (−11) · 162,251 (+11)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 20 · 24 · 26 · 30 · 32 · 39 · 40 · 48 · 52 · 60 · 64 · 65 · 78 · 80 · 96 · 104 · 120 · 130 · 156 · 160 · 169 · 192 · 195 · 208 · 240 · 260 · 312 · 320 · 338 · 390 · 416 · 480 · 507 · 520 · 624 · 676 · 780 · 832 · 845 · 960 · 1014 · 1040 · 1248 · 1352 · 1560 · 1690 · 2028 · 2080 · 2496 · 2535 · 2704 · 3120 · 3380 · 4056 · 4160 · 5070 · 5408 · 6240 · 6760 · 8112 · 10140 · 10816 · 12480 · 13520 · 16224 · 20280 · 27040 · 32448 · 40560 · 54080 · 81120 (half) · 162240
Aliquot sum (sum of proper divisors): 395,544
Factor pairs (a × b = 162,240)
1 × 162240
2 × 81120
3 × 54080
4 × 40560
5 × 32448
6 × 27040
8 × 20280
10 × 16224
12 × 13520
13 × 12480
15 × 10816
16 × 10140
20 × 8112
24 × 6760
26 × 6240
30 × 5408
32 × 5070
39 × 4160
40 × 4056
48 × 3380
52 × 3120
60 × 2704
64 × 2535
65 × 2496
78 × 2080
80 × 2028
96 × 1690
104 × 1560
120 × 1352
130 × 1248
156 × 1040
160 × 1014
169 × 960
192 × 845
195 × 832
208 × 780
240 × 676
260 × 624
312 × 520
320 × 507
338 × 480
390 × 416
First multiples
162,240 · 324,480 (double) · 486,720 · 648,960 · 811,200 · 973,440 · 1,135,680 · 1,297,920 · 1,460,160 · 1,622,400

Sums & aliquot sequence

As consecutive integers: 54,079 + 54,080 + 54,081 32,446 + 32,447 + 32,448 + 32,449 + 32,450 12,474 + 12,475 + … + 12,486 10,809 + 10,810 + … + 10,823
Aliquot sequence: 162,240 395,544 593,376 1,188,768 2,560,992 5,406,240 14,068,320 38,186,400 103,929,504 218,670,816 487,832,352 1,003,386,720 2,775,954,048 5,651,057,472 9,383,397,600 21,159,569,400 — keeps growing

Continued fraction of √n

√162,240 = [402; (1, 3, 1, 3, 3, 4, 2, 5, 1, 3, 1, 11, 1, 3, 1, 5, 2, 4, 3, 3, 1, 3, 1, 804)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-two thousand two hundred forty
Ordinal
162240th
Binary
100111100111000000
Octal
474700
Hexadecimal
0x279C0
Base64
AnnA
One's complement
4,294,805,055 (32-bit)
Scientific notation
1.6224 × 10⁵
As a duration
162,240 s = 1 day, 21 hours, 4 minutes
In other bases
ternary (3) 22020112220
quaternary (4) 213213000
quinary (5) 20142430
senary (6) 3251040
septenary (7) 1244001
nonary (9) 266486
undecimal (11) 100991
duodecimal (12) 79a80
tridecimal (13) 58b00
tetradecimal (14) 431a8
pentadecimal (15) 33110

As an angle

162,240° = 450 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρξβσμʹ
Chinese
一十六萬二千二百四十
Chinese (financial)
壹拾陸萬貳仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٦٢٢٤٠ Devanagari १६२२४० Bengali ১৬২২৪০ Tamil ௧௬௨௨௪௦ Thai ๑๖๒๒๔๐ Tibetan ༡༦༢༢༤༠ Khmer ១៦២២៤០ Lao ໑໖໒໒໔໐ Burmese ၁၆၂၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 162240, here are decompositions:

  • 11 + 162229 = 162240
  • 19 + 162221 = 162240
  • 31 + 162209 = 162240
  • 97 + 162143 = 162240
  • 131 + 162109 = 162240
  • 149 + 162091 = 162240
  • 181 + 162059 = 162240
  • 223 + 162017 = 162240

Showing the first eight; more decompositions exist.

Unicode codepoint
𧧀
CJK Unified Ideograph-279C0
U+279C0
Other letter (Lo)

UTF-8 encoding: F0 A7 A7 80 (4 bytes).

Hex color
#0279C0
RGB(2, 121, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.121.192.

Address
0.2.121.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.121.192

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 162,240 and was likely granted around 1874.

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

Position in π

The digit sequence 162240 first appears in π at position 368,975 of the decimal expansion (the 368,975ordinal-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°.