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102536120 = 2356142023
BaseRepresentation
bin1100001110010…
…01001110111000
321010221101010002
412013021032320
5202222123440
614101412132
72353354061
oct607111670
9233841102
10102536120
11529739a5
122a40a048
1318320c7b
14d891568
159006115
hex61c93b8

102536120 has 32 divisors (see below), whose sum is σ = 234493920. Its totient is φ = 40341120.

The previous prime is 102536113. The next prime is 102536171. The reversal of 102536120 is 21635201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102536092 and 102536101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18572 + ... + 23451.

It is an arithmetic number, because the mean of its divisors is an integer number (7327935).

Almost surely, 2102536120 is an apocalyptic number.

102536120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102536120 is an abundant number, since it is smaller than the sum of its proper divisors (131957800).

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

102536120 is a wasteful number, since it uses less digits than its factorization.

102536120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42095 (or 42091 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 102536120 is about 10126.0120481856. The cubic root of 102536120 is about 468.0500470014.

The spelling of 102536120 in words is "one hundred two million, five hundred thirty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 42023 84046 168092 210115 336184 420230 840460 1680920 2563403 5126806 10253612 12817015 20507224 25634030 51268060 102536120