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162,840

162,840 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.).

162,840 (one hundred sixty-two thousand eight hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 23 × 59. Its proper divisors sum to 355,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27C18.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
48,261
Recamán's sequence
a(50,860) = 162,840
Square (n²)
26,516,865,600
Cube (n³)
4,318,006,394,304,000
Divisor count
64
σ(n) — sum of divisors
518,400
φ(n) — Euler's totient
40,832
Sum of prime factors
96

Primality

Prime factorization: 2 3 × 3 × 5 × 23 × 59

Nearest primes: 162,839 (−1) · 162,847 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 23 · 24 · 30 · 40 · 46 · 59 · 60 · 69 · 92 · 115 · 118 · 120 · 138 · 177 · 184 · 230 · 236 · 276 · 295 · 345 · 354 · 460 · 472 · 552 · 590 · 690 · 708 · 885 · 920 · 1180 · 1357 · 1380 · 1416 · 1770 · 2360 · 2714 · 2760 · 3540 · 4071 · 5428 · 6785 · 7080 · 8142 · 10856 · 13570 · 16284 · 20355 · 27140 · 32568 · 40710 · 54280 · 81420 (half) · 162840
Aliquot sum (sum of proper divisors): 355,560
Factor pairs (a × b = 162,840)
1 × 162840
2 × 81420
3 × 54280
4 × 40710
5 × 32568
6 × 27140
8 × 20355
10 × 16284
12 × 13570
15 × 10856
20 × 8142
23 × 7080
24 × 6785
30 × 5428
40 × 4071
46 × 3540
59 × 2760
60 × 2714
69 × 2360
92 × 1770
115 × 1416
118 × 1380
120 × 1357
138 × 1180
177 × 920
184 × 885
230 × 708
236 × 690
276 × 590
295 × 552
345 × 472
354 × 460
First multiples
162,840 · 325,680 (double) · 488,520 · 651,360 · 814,200 · 977,040 · 1,139,880 · 1,302,720 · 1,465,560 · 1,628,400

Sums & aliquot sequence

As consecutive integers: 54,279 + 54,280 + 54,281 32,566 + 32,567 + 32,568 + 32,569 + 32,570 10,849 + 10,850 + … + 10,863 10,170 + 10,171 + … + 10,185
Aliquot sequence: 162,840 355,560 711,480 2,017,680 5,136,624 9,239,192 9,012,808 10,412,792 10,982,008 9,726,992 12,048,400 23,685,424 29,699,180 41,914,516 42,099,820 73,114,580 120,082,732 — unresolved within range

Continued fraction of √n

√162,840 = [403; (1, 1, 6, 1, 3, 2, 1, 3, 1, 2, 3, 1, 6, 1, 1, 806)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-two thousand eight hundred forty
Ordinal
162840th
Binary
100111110000011000
Octal
476030
Hexadecimal
0x27C18
Base64
AnwY
One's complement
4,294,804,455 (32-bit)
Scientific notation
1.6284 × 10⁵
As a duration
162,840 s = 1 day, 21 hours, 14 minutes
In other bases
ternary (3) 22021101010
quaternary (4) 213300120
quinary (5) 20202330
senary (6) 3253520
septenary (7) 1245516
nonary (9) 267333
undecimal (11) 101387
duodecimal (12) 7a2a0
tridecimal (13) 59172
tetradecimal (14) 434b6
pentadecimal (15) 333b0

As an angle

162,840° = 452 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρξβωμʹ
Chinese
一十六萬二千八百四十
Chinese (financial)
壹拾陸萬貳仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٦٢٨٤٠ Devanagari १६२८४० Bengali ১৬২৮৪০ Tamil ௧௬௨௮௪௦ Thai ๑๖๒๘๔๐ Tibetan ༡༦༢༨༤༠ Khmer ១៦២៨៤០ Lao ໑໖໒໘໔໐ Burmese ၁၆၂၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 162840, here are decompositions:

  • 11 + 162829 = 162840
  • 17 + 162823 = 162840
  • 19 + 162821 = 162840
  • 53 + 162787 = 162840
  • 61 + 162779 = 162840
  • 89 + 162751 = 162840
  • 101 + 162739 = 162840
  • 109 + 162731 = 162840

Showing the first eight; more decompositions exist.

Unicode codepoint
𧰘
CJK Unified Ideograph-27C18
U+27C18
Other letter (Lo)

UTF-8 encoding: F0 A7 B0 98 (4 bytes).

Hex color
#027C18
RGB(2, 124, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.124.24.

Address
0.2.124.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.124.24

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 162,840 and was likely granted around 1874.

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

Related reading

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