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102870924 = 223131016529
BaseRepresentation
bin1100010000110…
…10111110001100
321011120101101020
412020122332030
5202313332144
614112514140
72356250142
oct610327614
9234511336
10102870924
11530824a2
122a54b950
131840a490
14d93b592
159070419
hex621af8c

102870924 has 48 divisors (see below), whose sum is σ = 261095520. Its totient is φ = 31334400.

The previous prime is 102870923. The next prime is 102870931. The reversal of 102870924 is 429078201.

It is a happy number.

It is a super-2 number, since 2×1028709242 = 21164854009227552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102870923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12492 + ... + 19020.

It is an arithmetic number, because the mean of its divisors is an integer number (5439490).

Almost surely, 2102870924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102870924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130547760).

102870924 is an abundant number, since it is smaller than the sum of its proper divisors (158224596).

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

102870924 is a wasteful number, since it uses less digits than its factorization.

102870924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6650 (or 6648 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 102870924 is about 10142.5304534914. The cubic root of 102870924 is about 468.5589238646.

The spelling of 102870924 in words is "one hundred two million, eight hundred seventy thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 202 303 404 606 1212 1313 2626 3939 5252 6529 7878 13058 15756 19587 26116 39174 78348 84877 169754 254631 339508 509262 659429 1018524 1318858 1978287 2637716 3956574 7913148 8572577 17145154 25717731 34290308 51435462 102870924