Search a number
-
+
23137728 = 263373257
BaseRepresentation
bin101100001000…
…0110111000000
31121112111222220
41120100313000
521410401403
62143531040
7400444635
oct130206700
947474886
1023137728
1112073799
1278b9a80
134a41683
14310418c
152070953
hex1610dc0

23137728 has 56 divisors (see below), whose sum is σ = 62892432. Its totient is φ = 7501824.

The previous prime is 23137721. The next prime is 23137753. The reversal of 23137728 is 82773132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23137721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5476 + ... + 8732.

Almost surely, 223137728 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 23137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31446216).

23137728 is an abundant number, since it is smaller than the sum of its proper divisors (39754704).

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

23137728 is a wasteful number, since it uses less digits than its factorization.

23137728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3299 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 23137728 is about 4810.1692277923. The cubic root of 23137728 is about 284.9532210080.

The spelling of 23137728 in words is "twenty-three million, one hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3257 3552 6514 7104 9771 13028 19542 26056 39084 52112 78168 104224 120509 156336 208448 241018 312672 361527 482036 625344 723054 964072 1446108 1928144 2892216 3856288 5784432 7712576 11568864 23137728