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23123688 = 23373532
BaseRepresentation
bin101100000110…
…1011011101000
31121111210201220
41120031123220
521404424223
62143342040
7400356000
oct130153350
947453656
1023123688
1112064195
1278b1920
134a38173
1430dd000
15206b6e3
hex160d6e8

23123688 has 96 divisors (see below), whose sum is σ = 68712000. Its totient is φ = 6482112.

The previous prime is 23123677. The next prime is 23123707. The reversal of 23123688 is 88632132.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436270 + ... + 436322.

It is an arithmetic number, because the mean of its divisors is an integer number (715750).

Almost surely, 223123688 is an apocalyptic number.

23123688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23123688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34356000).

23123688 is an abundant number, since it is smaller than the sum of its proper divisors (45588312).

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

23123688 is an equidigital number, since it uses as much as digits as its factorization.

23123688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 65 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 23123688 is about 4808.7095982186. The cubic root of 23123688 is about 284.8955726985.

The spelling of 23123688 in words is "twenty-three million, one hundred twenty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 343 371 392 424 588 636 686 742 1029 1113 1176 1272 1372 1484 2058 2226 2597 2744 2809 2968 4116 4452 5194 5618 7791 8232 8427 8904 10388 11236 15582 16854 18179 19663 20776 22472 31164 33708 36358 39326 54537 58989 62328 67416 72716 78652 109074 117978 137641 145432 157304 218148 235956 275282 412923 436296 471912 550564 825846 963487 1101128 1651692 1926974 2890461 3303384 3853948 5780922 7707896 11561844 23123688