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23656896 = 263267613
BaseRepresentation
bin101101000111…
…1100111000000
31122111220011100
41122033213000
522024010041
62203014400
7405036354
oct132174700
948456140
1023656896
111239885a
127b0a400
134b93a83
1431db464
1521246b6
hex168f9c0

23656896 has 84 divisors (see below), whose sum is σ = 68932552. Its totient is φ = 7755264.

The previous prime is 23656873. The next prime is 23656907. The reversal of 23656896 is 69865632.

It is a happy number.

It is a zygodrome in base 3.

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, 38286 + ... + 38898.

Almost surely, 223656896 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 23656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34466276).

23656896 is an abundant number, since it is smaller than the sum of its proper divisors (45275656).

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

23656896 is a wasteful number, since it uses less digits than its factorization.

23656896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 685 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 23656896 is about 4863.8355235349. The cubic root of 23656896 is about 287.0687513100.

It can be divided in two parts, 2365 and 6896, that added together give a cube (9261 = 213).

The spelling of 23656896 in words is "twenty-three million, six hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 613 804 1072 1206 1226 1608 1839 2144 2412 2452 3216 3678 4288 4824 4904 5517 6432 7356 9648 9808 11034 12864 14712 19296 19616 22068 29424 38592 39232 41071 44136 58848 82142 88272 117696 123213 164284 176544 246426 328568 353088 369639 492852 657136 739278 985704 1314272 1478556 1971408 2628544 2957112 3942816 5914224 7885632 11828448 23656896