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23505696 = 2532174801
BaseRepresentation
bin101100110101…
…0101100100000
31122020012202100
41121222230200
522004140241
62155450400
7403536504
oct131525440
948205670
1023505696
11122a51a5
127a56a00
134b3ccc6
14319c304
1520e49b6
hex166ab20

23505696 has 72 divisors (see below), whose sum is σ = 70791084. Its totient is φ = 7372800.

The previous prime is 23505667. The next prime is 23505707. The reversal of 23505696 is 69650532.

It can be written as a sum of positive squares in 2 ways, for example, as 22695696 + 810000 = 4764^2 + 900^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23505696.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2496 + ... + 7296.

Almost surely, 223505696 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 23505696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35395542).

23505696 is an abundant number, since it is smaller than the sum of its proper divisors (47285388).

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

23505696 is a wasteful number, since it uses less digits than its factorization.

23505696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 23505696 is about 4848.2673193627. The cubic root of 23505696 is about 286.4558560679.

The spelling of 23505696 in words is "twenty-three million, five hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4801 4896 9602 14403 19204 28806 38408 43209 57612 76816 81617 86418 115224 153632 163234 172836 230448 244851 326468 345672 460896 489702 652936 691344 734553 979404 1305872 1382688 1469106 1958808 2611744 2938212 3917616 5876424 7835232 11752848 23505696