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23137056 = 253361439
BaseRepresentation
bin101100001000…
…0101100100000
31121112111002000
41120100230200
521410341211
62143524000
7400442655
oct130205440
947474060
1023137056
1112073238
1278b9600
134a41287
143103c2c
152070656
hex1610b20

23137056 has 96 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 7568640.

The previous prime is 23137039. The next prime is 23137061. The reversal of 23137056 is 65073132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52485 + ... + 52923.

It is an arithmetic number, because the mean of its divisors is an integer number (716100).

Almost surely, 223137056 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 23137056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

23137056 is an abundant number, since it is smaller than the sum of its proper divisors (45608544).

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

23137056 is a wasteful number, since it uses less digits than its factorization.

23137056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 23137056 is about 4810.0993752728. The cubic root of 23137056 is about 284.9504623042.

The spelling of 23137056 in words is "twenty-three million, one hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 439 488 549 732 864 878 976 1098 1317 1464 1647 1756 1952 2196 2634 2928 3294 3512 3951 4392 5268 5856 6588 7024 7902 8784 10536 11853 13176 14048 15804 17568 21072 23706 26352 26779 31608 42144 47412 52704 53558 63216 80337 94824 107116 126432 160674 189648 214232 241011 321348 379296 428464 482022 642696 723033 856928 964044 1285392 1446066 1928088 2570784 2892132 3856176 5784264 7712352 11568528 23137056