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121,360

121,360 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.).

121,360 (one hundred twenty-one thousand three hundred sixty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 37 × 41. Its proper divisors sum to 175,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DA10.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
63,121
Square (n²)
14,728,249,600
Cube (n³)
1,787,420,371,456,000
Divisor count
40
σ(n) — sum of divisors
296,856
φ(n) — Euler's totient
46,080
Sum of prime factors
91

Primality

Prime factorization: 2 4 × 5 × 37 × 41

Nearest primes: 121,357 (−3) · 121,367 (+7)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 37 · 40 · 41 · 74 · 80 · 82 · 148 · 164 · 185 · 205 · 296 · 328 · 370 · 410 · 592 · 656 · 740 · 820 · 1480 · 1517 · 1640 · 2960 · 3034 · 3280 · 6068 · 7585 · 12136 · 15170 · 24272 · 30340 · 60680 (half) · 121360
Aliquot sum (sum of proper divisors): 175,496
Factor pairs (a × b = 121,360)
1 × 121360
2 × 60680
4 × 30340
5 × 24272
8 × 15170
10 × 12136
16 × 7585
20 × 6068
37 × 3280
40 × 3034
41 × 2960
74 × 1640
80 × 1517
82 × 1480
148 × 820
164 × 740
185 × 656
205 × 592
296 × 410
328 × 370
First multiples
121,360 · 242,720 (double) · 364,080 · 485,440 · 606,800 · 728,160 · 849,520 · 970,880 · 1,092,240 · 1,213,600

Sums & aliquot sequence

As a sum of two squares: 16² + 348² = 92² + 336² = 128² + 324² = 196² + 288²
As consecutive integers: 24,270 + 24,271 + 24,272 + 24,273 + 24,274 3,777 + 3,778 + … + 3,808 3,262 + 3,263 + … + 3,298 2,940 + 2,941 + … + 2,980
Aliquot sequence: 121,360 175,496 153,574 84,314 42,160 64,976 65,968 92,752 121,520 217,744 218,736 516,336 864,528 1,801,968 3,721,488 6,611,184 12,500,688 — unresolved within range

Continued fraction of √n

√121,360 = [348; (2, 1, 2, 1, 1, 2, 1, 7, 1, 7, 2, 2, 3, 1, 42, 1, 3, 2, 2, 7, 1, 7, 1, 2, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand three hundred sixty
Ordinal
121360th
Binary
11101101000010000
Octal
355020
Hexadecimal
0x1DA10
Base64
AdoQ
One's complement
4,294,845,935 (32-bit)
Scientific notation
1.2136 × 10⁵
As a duration
121,360 s = 1 day, 9 hours, 42 minutes, 40 seconds
In other bases
ternary (3) 20011110211
quaternary (4) 131220100
quinary (5) 12340420
senary (6) 2333504
septenary (7) 1013551
nonary (9) 204424
undecimal (11) 831a8
duodecimal (12) 5a294
tridecimal (13) 43315
tetradecimal (14) 32328
pentadecimal (15) 25e5a

As an angle

121,360° = 337 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκατξʹ
Mayan (base 20)
𝋯·𝋣·𝋨·𝋠
Chinese
一十二萬一千三百六十
Chinese (financial)
壹拾貳萬壹仟參佰陸拾
In other modern scripts
Eastern Arabic ١٢١٣٦٠ Devanagari १२१३६० Bengali ১২১৩৬০ Tamil ௧௨௧௩௬௦ Thai ๑๒๑๓๖๐ Tibetan ༡༢༡༣༦༠ Khmer ១២១៣៦០ Lao ໑໒໑໓໖໐ Burmese ၁၂၁၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121360, here are decompositions:

  • 3 + 121357 = 121360
  • 11 + 121349 = 121360
  • 17 + 121343 = 121360
  • 47 + 121313 = 121360
  • 89 + 121271 = 121360
  • 101 + 121259 = 121360
  • 131 + 121229 = 121360
  • 179 + 121181 = 121360

Showing the first eight; more decompositions exist.

Unicode codepoint
𝨐
Signwriting Dreamy Eyebrows Neutral Up
U+1DA10
Non-spacing mark (Mn)

UTF-8 encoding: F0 9D A8 90 (4 bytes).

Hex color
#01DA10
RGB(1, 218, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.16.

Address
0.1.218.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.16

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 121,360 and was likely granted around 1871.

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

Position in π

The digit sequence 121360 first appears in π at position 489,786 of the decimal expansion (the 489,786ordinal-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