120,420
120,420 is a composite number, even.
120,420 (one hundred twenty thousand four hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 5 × 223. Its proper divisors sum to 255,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D664.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 24,021
- Square (n²)
- 14,500,976,400
- Cube (n³)
- 1,746,207,578,088,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 376,320
- φ(n) — Euler's totient
- 31,968
- Sum of prime factors
- 241
Primality
Prime factorization: 2 2 × 3 3 × 5 × 223
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,420 = [347; (63, 10, 1, 4, 1, 4, 1, 3, 3, 1, 1, 2, 6, 1, 10, 1, 8, 1, 6, 8, 1, 76, 4, 2, …)]
Representations
- In words
- one hundred twenty thousand four hundred twenty
- Ordinal
- 120420th
- Binary
- 11101011001100100
- Octal
- 353144
- Hexadecimal
- 0x1D664
- Base64
- AdZk
- One's complement
- 4,294,846,875 (32-bit)
- Scientific notation
- 1.2042 × 10⁵
- As a duration
- 120,420 s = 1 day, 9 hours, 27 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρκυκʹ
- Mayan (base 20)
- 𝋯·𝋡·𝋡·𝋠
- Chinese
- 一十二萬零四百二十
- Chinese (financial)
- 壹拾貳萬零肆佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120420, here are decompositions:
- 7 + 120413 = 120420
- 19 + 120401 = 120420
- 23 + 120397 = 120420
- 29 + 120391 = 120420
- 37 + 120383 = 120420
- 71 + 120349 = 120420
- 89 + 120331 = 120420
- 101 + 120319 = 120420
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 99 A4 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.100.
- Address
- 0.1.214.100
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.214.100
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 120,420 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 120420 first appears in π at position 430,586 of the decimal expansion (the 430,586ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.