120,416
120,416 is a composite number, even.
120,416 (one hundred twenty thousand four hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 53 × 71. Its proper divisors sum to 124,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D660.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 614,021
- Square (n²)
- 14,500,013,056
- Cube (n³)
- 1,746,033,572,151,296
- Divisor count
- 24
- σ(n) — sum of divisors
- 244,944
- φ(n) — Euler's totient
- 58,240
- Sum of prime factors
- 134
Primality
Prime factorization: 2 5 × 53 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,416 = [347; (99, 6, 1, 13, 3, 3, 1, 3, 1, 1, 3, 7, 1, 1, 14, 4, 3, 1, 2, 1, 1, 2, 1, 27, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand four hundred sixteen
- Ordinal
- 120416th
- Binary
- 11101011001100000
- Octal
- 353140
- Hexadecimal
- 0x1D660
- Base64
- AdZg
- One's complement
- 4,294,846,879 (32-bit)
- Scientific notation
- 1.20416 × 10⁵
- As a duration
- 120,416 s = 1 day, 9 hours, 26 minutes, 56 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκυιϛʹ
- Mayan (base 20)
- 𝋯·𝋡·𝋠·𝋰
- Chinese
- 一十二萬零四百一十六
- Chinese (financial)
- 壹拾貳萬零肆佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120416, here are decompositions:
- 3 + 120413 = 120416
- 19 + 120397 = 120416
- 67 + 120349 = 120416
- 97 + 120319 = 120416
- 139 + 120277 = 120416
- 193 + 120223 = 120416
- 223 + 120193 = 120416
- 313 + 120103 = 120416
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 99 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.96.
- Address
- 0.1.214.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.214.96
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 120,416 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 120416 first appears in π at position 226,027 of the decimal expansion (the 226,027ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.