Live analysis

132,480

132,480 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.).

132,480 (one hundred thirty-two thousand four hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 3² × 5 × 23. Its proper divisors sum to 344,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20580.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

132,468 132,469 132,470 132,471 132,472 132,473 132,474 132,475 132,476 132,477 132,478 132,479 132,480 132,481 132,482 132,483 132,484 132,485 132,486 132,487 132,488 132,489 132,490 132,491 132,492

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 84,231
Square (n²): 17,550,950,400
Cube (n³): 2,325,149,908,992,000
Divisor count: 96
σ(n) — sum of divisors: 477,360
φ(n) — Euler's totient: 33,792
Sum of prime factors: 48

Primality

Prime factorization: 2 ⁷ × 3 ² × 5 × 23

Nearest primes: 132,469 (−11) · 132,491 (+11)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 23 · 24 · 30 · 32 · 36 · 40 · 45 · 46 · 48 · 60 · 64 · 69 · 72 · 80 · 90 · 92 · 96 · 115 · 120 · 128 · 138 · 144 · 160 · 180 · 184 · 192 · 207 · 230 · 240 · 276 · 288 · 320 · 345 · 360 · 368 · 384 · 414 · 460 · 480 · 552 · 576 · 640 · 690 · 720 · 736 · 828 · 920 · 960 · 1035 · 1104 · 1152 · 1380 · 1440 · 1472 · 1656 · 1840 · 1920 · 2070 · 2208 · 2760 · 2880 · 2944 · 3312 · 3680 · 4140 · 4416 · 5520 · 5760 · 6624 · 7360 · 8280 · 8832 · 11040 · 13248 · 14720 · 16560 · 22080 · 26496 · 33120 · 44160 · 66240 (half) · 132480

Aliquot sum (sum of proper divisors): 344,880

Factor pairs (a × b = 132,480)

1 × 132480

2 × 66240

3 × 44160

4 × 33120

5 × 26496

6 × 22080

8 × 16560

9 × 14720

10 × 13248

12 × 11040

15 × 8832

16 × 8280

18 × 7360

20 × 6624

23 × 5760

24 × 5520

30 × 4416

32 × 4140

36 × 3680

40 × 3312

45 × 2944

46 × 2880

48 × 2760

60 × 2208

64 × 2070

69 × 1920

72 × 1840

80 × 1656

90 × 1472

92 × 1440

96 × 1380

115 × 1152

120 × 1104

128 × 1035

138 × 960

144 × 920

160 × 828

180 × 736

184 × 720

192 × 690

207 × 640

230 × 576

240 × 552

276 × 480

288 × 460

320 × 414

345 × 384

360 × 368

First multiples

132,480 · 264,960 (double) · 397,440 · 529,920 · 662,400 · 794,880 · 927,360 · 1,059,840 · 1,192,320 · 1,324,800

Sums & aliquot sequence

As consecutive integers: 44,159 + 44,160 + 44,161 26,494 + 26,495 + 26,496 + 26,497 + 26,498 14,716 + 14,717 + … + 14,724 8,825 + 8,826 + … + 8,839

Aliquot sequence: 132,480 → 344,880 → 815,760 → 2,201,904 → 4,174,796 → 3,202,756 → 2,653,724 → 2,140,324 → 1,640,376 → 2,802,504 → 4,509,816 → 6,764,784 → 12,629,808 → 22,963,152 → 36,358,448 → 45,874,384 → 43,797,332 — unresolved within range

Continued fraction of √n

√132,480 = [363; (1, 44, 2, 181, 2, 44, 1, 726)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-two thousand four hundred eighty
Ordinal: 132480th
Binary: 100000010110000000
Octal: 402600
Hexadecimal: 0x20580
Base64: AgWA
One's complement: 4,294,834,815 (32-bit)
Scientific notation: 1.3248 × 10⁵
As a duration: 132,480 s = 1 day, 12 hours, 48 minutes

In other bases

ternary (3) 20201201200

quaternary (4) 200112000

quinary (5) 13214410

senary (6) 2501200

septenary (7) 1061145

nonary (9) 221650

undecimal (11) 90597

duodecimal (12) 64800

tridecimal (13) 483ba

tetradecimal (14) 363cc

pentadecimal (15) 293c0

As an angle

132,480° = 368 × 360°

0° ≈ 0 rad

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρλβυπʹ
Mayan (base 20): 𝋰·𝋫·𝋤·𝋠
Chinese: 一十三萬二千四百八十
Chinese (financial): 壹拾參萬貳仟肆佰捌拾

In other modern scripts

Eastern Arabic ١٣٢٤٨٠ Devanagari १३२४८० Bengali ১৩২৪৮০ Tamil ௧௩௨௪௮௦ Thai ๑๓๒๔๘๐ Tibetan ༡༣༢༤༨༠ Khmer ១៣២៤៨០ Lao ໑໓໒໔໘໐ Burmese ၁၃၂၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132480, here are decompositions:

11 + 132469 = 132480
41 + 132439 = 132480
43 + 132437 = 132480
59 + 132421 = 132480
71 + 132409 = 132480
97 + 132383 = 132480
109 + 132371 = 132480
113 + 132367 = 132480

Showing the first eight; more decompositions exist.

Unicode codepoint

𠖀

CJK Unified Ideograph-20580

U+20580

Other letter (Lo)

UTF-8 encoding: F0 A0 96 80 (4 bytes).

Lookup U+20580 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020580

RGB(2, 5, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.128.

Address: 0.2.5.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.5.128

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 132,480 and was likely granted around 1872.

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

Look up US132,480 on Google Patents ↗ Look up on USPTO ↗