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102152304 = 24323112281
BaseRepresentation
bin1100001011010…
…11100001110000
321010012212121200
412011223201300
5202122333204
614045251200
72350165062
oct605534160
9233185550
10102152304
11527315a1
122a263b00
1318218367
14d7d1732
158e7c539
hex616b870

102152304 has 60 divisors (see below), whose sum is σ = 286929552. Its totient is φ = 33926400.

The previous prime is 102152273. The next prime is 102152311. The reversal of 102152304 is 403251201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43644 + ... + 45924.

Almost surely, 2102152304 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 102152304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143464776).

102152304 is an abundant number, since it is smaller than the sum of its proper divisors (184777248).

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

102152304 is a wasteful number, since it uses less digits than its factorization.

102152304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102152304 is about 10107.0422973291. The cubic root of 102152304 is about 467.4653108942.

The spelling of 102152304 in words is "one hundred two million, one hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 311 622 933 1244 1866 2281 2488 2799 3732 4562 4976 5598 6843 7464 9124 11196 13686 14928 18248 20529 22392 27372 36496 41058 44784 54744 82116 109488 164232 328464 709391 1418782 2128173 2837564 4256346 5675128 6384519 8512692 11350256 12769038 17025384 25538076 34050768 51076152 102152304