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132,624

132,624 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.).

132,624 (one hundred thirty-two thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3³ × 307. Its proper divisors sum to 249,296, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20610.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
288
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
426,231
Square (n²)
17,589,125,376
Cube (n³)
2,332,740,163,866,624
Divisor count
40
σ(n) — sum of divisors
381,920
φ(n) — Euler's totient
44,064
Sum of prime factors
324

Primality

Prime factorization: 2 4 × 3 3 × 307

Nearest primes: 132,623 (−1) · 132,631 (+7)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 36 · 48 · 54 · 72 · 108 · 144 · 216 · 307 · 432 · 614 · 921 · 1228 · 1842 · 2456 · 2763 · 3684 · 4912 · 5526 · 7368 · 8289 · 11052 · 14736 · 16578 · 22104 · 33156 · 44208 · 66312 (half) · 132624
Aliquot sum (sum of proper divisors): 249,296
Factor pairs (a × b = 132,624)
1 × 132624
2 × 66312
3 × 44208
4 × 33156
6 × 22104
8 × 16578
9 × 14736
12 × 11052
16 × 8289
18 × 7368
24 × 5526
27 × 4912
36 × 3684
48 × 2763
54 × 2456
72 × 1842
108 × 1228
144 × 921
216 × 614
307 × 432
First multiples
132,624 · 265,248 (double) · 397,872 · 530,496 · 663,120 · 795,744 · 928,368 · 1,060,992 · 1,193,616 · 1,326,240

Sums & aliquot sequence

As consecutive integers: 44,207 + 44,208 + 44,209 14,732 + 14,733 + … + 14,740 4,899 + 4,900 + … + 4,925 4,129 + 4,130 + … + 4,160
Aliquot sequence: 132,624 249,296 233,746 121,898 87,094 62,234 37,060 46,100 54,154 27,080 33,940 37,376 38,326 19,166 14,602 11,048 9,682 — unresolved within range

Continued fraction of √n

√132,624 = [364; (5, 1, 2, 4, 1, 2, 31, 3, 4, 1, 6, 1, 5, 1, 6, 1, 4, 3, 31, 2, 1, 4, 2, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand six hundred twenty-four
Ordinal
132624th
Binary
100000011000010000
Octal
403020
Hexadecimal
0x20610
Base64
AgYQ
One's complement
4,294,834,671 (32-bit)
Scientific notation
1.32624 × 10⁵
As a duration
132,624 s = 1 day, 12 hours, 50 minutes, 24 seconds
In other bases
ternary (3) 20201221000
quaternary (4) 200120100
quinary (5) 13220444
senary (6) 2502000
septenary (7) 1061442
nonary (9) 221830
undecimal (11) 90708
duodecimal (12) 64900
tridecimal (13) 4849b
tetradecimal (14) 36492
pentadecimal (15) 29469

As an angle

132,624° = 368 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβχκδʹ
Mayan (base 20)
𝋰·𝋫·𝋫·𝋤
Chinese
一十三萬二千六百二十四
Chinese (financial)
壹拾參萬貳仟陸佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٢٦٢٤ Devanagari १३२६२४ Bengali ১৩২৬২৪ Tamil ௧௩௨௬௨௪ Thai ๑๓๒๖๒๔ Tibetan ༡༣༢༦༢༤ Khmer ១៣២៦២៤ Lao ໑໓໒໖໒໔ Burmese ၁၃၂၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132624, here are decompositions:

  • 5 + 132619 = 132624
  • 13 + 132611 = 132624
  • 17 + 132607 = 132624
  • 83 + 132541 = 132624
  • 97 + 132527 = 132624
  • 101 + 132523 = 132624
  • 113 + 132511 = 132624
  • 241 + 132383 = 132624

Showing the first eight; more decompositions exist.

Unicode codepoint
𠘐
CJK Unified Ideograph-20610
U+20610
Other letter (Lo)

UTF-8 encoding: F0 A0 98 90 (4 bytes).

Hex color
#020610
RGB(2, 6, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.16.

Address
0.2.6.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.16

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 132,624 and was likely granted around 1872.

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

Position in π

The digit sequence 132624 first appears in π at position 463,039 of the decimal expansion (the 463,039ordinal-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°.