Live analysis

132,420

132,420 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.).

132,420 (one hundred thirty-two thousand four hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 2,207. Its proper divisors sum to 238,524, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20544.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

132,408 132,409 132,410 132,411 132,412 132,413 132,414 132,415 132,416 132,417 132,418 132,419 132,420 132,421 132,422 132,423 132,424 132,425 132,426 132,427 132,428 132,429 132,430 132,431 132,432

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 18 bits
Reversed: 24,231
Recamán's sequence: a(227,532) = 132,420
Square (n²): 17,535,056,400
Cube (n³): 2,321,992,168,488,000
Divisor count: 24
σ(n) — sum of divisors: 370,944
φ(n) — Euler's totient: 35,296
Sum of prime factors: 2,219

Primality

Prime factorization: 2 ² × 3 × 5 × 2207

Nearest primes: 132,409 (−11) · 132,421 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 2207 · 4414 · 6621 · 8828 · 11035 · 13242 · 22070 · 26484 · 33105 · 44140 · 66210 (half) · 132420

Aliquot sum (sum of proper divisors): 238,524

Factor pairs (a × b = 132,420)

1 × 132420

2 × 66210

3 × 44140

4 × 33105

5 × 26484

6 × 22070

10 × 13242

12 × 11035

15 × 8828

20 × 6621

30 × 4414

60 × 2207

First multiples

132,420 · 264,840 (double) · 397,260 · 529,680 · 662,100 · 794,520 · 926,940 · 1,059,360 · 1,191,780 · 1,324,200

Sums & aliquot sequence

As consecutive integers: 44,139 + 44,140 + 44,141 26,482 + 26,483 + 26,484 + 26,485 + 26,486 16,549 + 16,550 + … + 16,556 8,821 + 8,822 + … + 8,835

Aliquot sequence: 132,420 → 238,524 → 420,036 → 668,604 → 891,500 → 1,056,628 → 889,932 → 1,186,604 → 889,960 → 1,219,640 → 1,524,640 → 2,359,688 → 2,099,092 → 1,790,528 → 1,810,684 → 1,358,020 → 1,493,864 — unresolved within range

Continued fraction of √n

√132,420 = [363; (1, 8, 1, 1, 2, 1, 2, 1, 1, 1, 1, 5, 3, 1, 7, 1, 9, 2, 1, 2, 1, 6, 1, 5, …)]

Representations

In words: one hundred thirty-two thousand four hundred twenty
Ordinal: 132420th
Binary: 100000010101000100
Octal: 402504
Hexadecimal: 0x20544
Base64: AgVE
One's complement: 4,294,834,875 (32-bit)
Scientific notation: 1.3242 × 10⁵
As a duration: 132,420 s = 1 day, 12 hours, 47 minutes

In other bases

ternary (3) 20201122110

quaternary (4) 200111010

quinary (5) 13214140

senary (6) 2501020

septenary (7) 1061031

nonary (9) 221573

undecimal (11) 90542

duodecimal (12) 64770

tridecimal (13) 48372

tetradecimal (14) 36388

pentadecimal (15) 29380

As an angle

132,420° = 367 × 360° + 300°

300° ≈ 5.236 rad

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ρλβυκʹ
Mayan (base 20): 𝋰·𝋫·𝋡·𝋠
Chinese: 一十三萬二千四百二十
Chinese (financial): 壹拾參萬貳仟肆佰貳拾

In other modern scripts

Eastern Arabic ١٣٢٤٢٠ Devanagari १३२४२० Bengali ১৩২৪২০ Tamil ௧௩௨௪௨௦ Thai ๑๓๒๔๒๐ Tibetan ༡༣༢༤༢༠ Khmer ១៣២៤២០ Lao ໑໓໒໔໒໐ Burmese ၁၃၂၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132420, here are decompositions:

11 + 132409 = 132420
17 + 132403 = 132420
37 + 132383 = 132420
53 + 132367 = 132420
59 + 132361 = 132420
73 + 132347 = 132420
89 + 132331 = 132420
107 + 132313 = 132420

Showing the first eight; more decompositions exist.

Unicode codepoint

𠕄

CJK Unified Ideograph-20544

U+20544

Other letter (Lo)

UTF-8 encoding: F0 A0 95 84 (4 bytes).

Lookup U+20544 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020544

RGB(2, 5, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.68.

Address: 0.2.5.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.5.68

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 132,420 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 US132,420 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 132420 first appears in π at position 737,295 of the decimal expansion (the 737,295ordinal-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.

Look up 132420 on Pi Search ↗