Live analysis

121,420

121,420 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.).

121,420 (one hundred twenty-one thousand four hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 13 × 467. Its proper divisors sum to 153,764, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DA4C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

121,408 121,409 121,410 121,411 121,412 121,413 121,414 121,415 121,416 121,417 121,418 121,419 121,420 121,421 121,422 121,423 121,424 121,425 121,426 121,427 121,428 121,429 121,430 121,431 121,432

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 17 bits
Reversed: 24,121
Square (n²): 14,742,816,400
Cube (n³): 1,790,072,767,288,000
Divisor count: 24
σ(n) — sum of divisors: 275,184
φ(n) — Euler's totient: 44,736
Sum of prime factors: 489

Primality

Prime factorization: 2 ² × 5 × 13 × 467

Nearest primes: 121,403 (−17) · 121,421 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 13 · 20 · 26 · 52 · 65 · 130 · 260 · 467 · 934 · 1868 · 2335 · 4670 · 6071 · 9340 · 12142 · 24284 · 30355 · 60710 (half) · 121420

Aliquot sum (sum of proper divisors): 153,764

Factor pairs (a × b = 121,420)

1 × 121420

2 × 60710

4 × 30355

5 × 24284

10 × 12142

13 × 9340

20 × 6071

26 × 4670

52 × 2335

65 × 1868

130 × 934

260 × 467

First multiples

121,420 · 242,840 (double) · 364,260 · 485,680 · 607,100 · 728,520 · 849,940 · 971,360 · 1,092,780 · 1,214,200

Sums & aliquot sequence

As consecutive integers: 24,282 + 24,283 + 24,284 + 24,285 + 24,286 15,174 + 15,175 + … + 15,181 9,334 + 9,335 + … + 9,346 3,016 + 3,017 + … + 3,055

Aliquot sequence: 121,420 → 153,764 → 136,120 → 181,400 → 240,820 → 264,944 → 267,016 → 233,654 → 116,830 → 123,650 → 106,432 → 104,896 → 123,704 → 147,136 → 190,684 → 189,556 → 142,174 — unresolved within range

Continued fraction of √n

√121,420 = [348; (2, 4, 1, 9, 3, 1, 1, 4, 1, 4, 1, 76, 1, 1, 1, 1, 6, 9, 1, 18, 2, 5, 3, 8, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty-one thousand four hundred twenty
Ordinal: 121420th
Binary: 11101101001001100
Octal: 355114
Hexadecimal: 0x1DA4C
Base64: AdpM
One's complement: 4,294,845,875 (32-bit)
Scientific notation: 1.2142 × 10⁵
As a duration: 121,420 s = 1 day, 9 hours, 43 minutes, 40 seconds

In other bases

ternary (3) 20011120001

quaternary (4) 131221030

quinary (5) 12341140

senary (6) 2334044

septenary (7) 1013665

nonary (9) 204501

undecimal (11) 83252

duodecimal (12) 5a324

tridecimal (13) 43360

tetradecimal (14) 3236c

pentadecimal (15) 25e9a

As an angle

121,420° = 337 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ρκαυκʹ
Mayan (base 20): 𝋯·𝋣·𝋫·𝋠
Chinese: 一十二萬一千四百二十
Chinese (financial): 壹拾貳萬壹仟肆佰貳拾

In other modern scripts

Eastern Arabic ١٢١٤٢٠ Devanagari १२१४२० Bengali ১২১৪২০ Tamil ௧௨௧௪௨௦ Thai ๑๒๑๔๒๐ Tibetan ༡༢༡༤༢༠ Khmer ១២១៤២០ Lao ໑໒໑໔໒໐ Burmese ၁၂၁၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121420, here are decompositions:

17 + 121403 = 121420
41 + 121379 = 121420
53 + 121367 = 121420
71 + 121349 = 121420
107 + 121313 = 121420
137 + 121283 = 121420
149 + 121271 = 121420
191 + 121229 = 121420

Showing the first eight; more decompositions exist.

Unicode codepoint

𝩌

Signwriting Mouth Open Rectangle Yawn

U+1DA4C

Non-spacing mark (Mn)

UTF-8 encoding: F0 9D A9 8C (4 bytes).

Lookup U+1DA4C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01DA4C

RGB(1, 218, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.76.

Address: 0.1.218.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.218.76

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 121,420 and was likely granted around 1871.

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

Look up US121,420 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 121420 first appears in π at position 837,116 of the decimal expansion (the 837,116ordinal-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 121420 on Pi Search ↗