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132,240

132,240 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.).

132,240 (one hundred thirty-two thousand two hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 19 × 29. Its proper divisors sum to 314,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20490.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
42,231
Recamán's sequence
a(227,892) = 132,240
Square (n²)
17,487,417,600
Cube (n³)
2,312,536,103,424,000
Divisor count
80
σ(n) — sum of divisors
446,400
φ(n) — Euler's totient
32,256
Sum of prime factors
64

Primality

Prime factorization: 2 4 × 3 × 5 × 19 × 29

Nearest primes: 132,233 (−7) · 132,241 (+1)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 19 · 20 · 24 · 29 · 30 · 38 · 40 · 48 · 57 · 58 · 60 · 76 · 80 · 87 · 95 · 114 · 116 · 120 · 145 · 152 · 174 · 190 · 228 · 232 · 240 · 285 · 290 · 304 · 348 · 380 · 435 · 456 · 464 · 551 · 570 · 580 · 696 · 760 · 870 · 912 · 1102 · 1140 · 1160 · 1392 · 1520 · 1653 · 1740 · 2204 · 2280 · 2320 · 2755 · 3306 · 3480 · 4408 · 4560 · 5510 · 6612 · 6960 · 8265 · 8816 · 11020 · 13224 · 16530 · 22040 · 26448 · 33060 · 44080 · 66120 (half) · 132240
Aliquot sum (sum of proper divisors): 314,160
Factor pairs (a × b = 132,240)
1 × 132240
2 × 66120
3 × 44080
4 × 33060
5 × 26448
6 × 22040
8 × 16530
10 × 13224
12 × 11020
15 × 8816
16 × 8265
19 × 6960
20 × 6612
24 × 5510
29 × 4560
30 × 4408
38 × 3480
40 × 3306
48 × 2755
57 × 2320
58 × 2280
60 × 2204
76 × 1740
80 × 1653
87 × 1520
95 × 1392
114 × 1160
116 × 1140
120 × 1102
145 × 912
152 × 870
174 × 760
190 × 696
228 × 580
232 × 570
240 × 551
285 × 464
290 × 456
304 × 435
348 × 380
First multiples
132,240 · 264,480 (double) · 396,720 · 528,960 · 661,200 · 793,440 · 925,680 · 1,057,920 · 1,190,160 · 1,322,400

Sums & aliquot sequence

As consecutive integers: 44,079 + 44,080 + 44,081 26,446 + 26,447 + 26,448 + 26,449 + 26,450 8,809 + 8,810 + … + 8,823 6,951 + 6,952 + … + 6,969
Aliquot sequence: 132,240 314,160 971,472 1,610,704 1,510,066 755,036 609,124 463,640 601,240 751,640 1,149,160 1,436,540 2,133,124 2,463,356 2,463,412 2,519,692 2,519,748 — unresolved within range

Continued fraction of √n

√132,240 = [363; (1, 1, 1, 5, 2, 1, 9, 1, 1, 3, 1, 3, 1, 1, 9, 1, 2, 5, 1, 1, 1, 726)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand two hundred forty
Ordinal
132240th
Binary
100000010010010000
Octal
402220
Hexadecimal
0x20490
Base64
AgSQ
One's complement
4,294,835,055 (32-bit)
Scientific notation
1.3224 × 10⁵
As a duration
132,240 s = 1 day, 12 hours, 44 minutes
In other bases
ternary (3) 20201101210
quaternary (4) 200102100
quinary (5) 13212430
senary (6) 2500120
septenary (7) 1060353
nonary (9) 221353
undecimal (11) 90399
duodecimal (12) 64640
tridecimal (13) 48264
tetradecimal (14) 3629a
pentadecimal (15) 292b0

As an angle

132,240° = 367 × 360° + 120°
120° ≈ 2.094 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβσμʹ
Mayan (base 20)
𝋰·𝋪·𝋬·𝋠
Chinese
一十三萬二千二百四十
Chinese (financial)
壹拾參萬貳仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٣٢٢٤٠ Devanagari १३२२४० Bengali ১৩২২৪০ Tamil ௧௩௨௨௪௦ Thai ๑๓๒๒๔๐ Tibetan ༡༣༢༢༤༠ Khmer ១៣២២៤០ Lao ໑໓໒໒໔໐ Burmese ၁၃၂၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132240, here are decompositions:

  • 7 + 132233 = 132240
  • 11 + 132229 = 132240
  • 41 + 132199 = 132240
  • 67 + 132173 = 132240
  • 71 + 132169 = 132240
  • 83 + 132157 = 132240
  • 89 + 132151 = 132240
  • 103 + 132137 = 132240

Showing the first eight; more decompositions exist.

Unicode codepoint
𠒐
CJK Unified Ideograph-20490
U+20490
Other letter (Lo)

UTF-8 encoding: F0 A0 92 90 (4 bytes).

Hex color
#020490
RGB(2, 4, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.144.

Address
0.2.4.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.144

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 132,240 and was likely granted around 1872.

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°.