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103364136 = 23321435613
BaseRepresentation
bin1100010100100…
…11011000101000
321012111102221100
412022103120220
5202430123021
614131241400
72363403111
oct612233050
9235442840
10103364136
115338a007
122a749260
1318550b15
14da29208
15911b626
hex6293628

103364136 has 24 divisors (see below), whose sum is σ = 279944730. Its totient is φ = 34454688.

The previous prime is 103364113. The next prime is 103364141. The reversal of 103364136 is 631463301.

103364136 is a `hidden beast` number, since 10 + 3 + 3 + 641 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92275236 + 11088900 = 9606^2 + 3330^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1033641362 = 21368289222052992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 717735 + ... + 717878.

Almost surely, 2103364136 is an apocalyptic number.

It is an amenable number.

103364136 is an abundant number, since it is smaller than the sum of its proper divisors (176580594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103364136 is a wasteful number, since it uses less digits than its factorization.

103364136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435625 (or 1435618 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 103364136 is about 10166.8154306056. The cubic root of 103364136 is about 469.3065615289.

The spelling of 103364136 in words is "one hundred three million, three hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1435613 2871226 4306839 5742452 8613678 11484904 12920517 17227356 25841034 34454712 51682068 103364136