135,420
135,420 is a composite number, even.
135,420 (one hundred thirty-five thousand four hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 37 × 61. Its proper divisors sum to 260,388, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x210FC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 24,531
- Square (n²)
- 18,338,576,400
- Cube (n³)
- 2,483,410,016,088,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 395,808
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 110
Primality
Prime factorization: 2 2 × 3 × 5 × 37 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,420 = [367; (1, 182, 1, 734)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand four hundred twenty
- Ordinal
- 135420th
- Binary
- 100001000011111100
- Octal
- 410374
- Hexadecimal
- 0x210FC
- Base64
- AhD8
- One's complement
- 4,294,831,875 (32-bit)
- Scientific notation
- 1.3542 × 10⁵
- As a duration
- 135,420 s = 1 day, 13 hours, 37 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλευκʹ
- Mayan (base 20)
- 𝋰·𝋲·𝋫·𝋠
- Chinese
- 一十三萬五千四百二十
- Chinese (financial)
- 壹拾參萬伍仟肆佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135420, here are decompositions:
- 11 + 135409 = 135420
- 17 + 135403 = 135420
- 29 + 135391 = 135420
- 31 + 135389 = 135420
- 53 + 135367 = 135420
- 67 + 135353 = 135420
- 71 + 135349 = 135420
- 73 + 135347 = 135420
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 83 BC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.252.
- Address
- 0.2.16.252
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.16.252
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 135,420 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 135420 first appears in π at position 454,107 of the decimal expansion (the 454,107ordinal-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°.