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23006088 = 2332726521
BaseRepresentation
bin101011111000…
…0101110001000
31121021211102100
41113300232020
521342143323
62141033400
7366356100
oct127605610
947254370
1023006088
1111a938a6
127855860
1349c6791
1430ac200
152046943
hex15f0b88

23006088 has 72 divisors (see below), whose sum is σ = 72492030. Its totient is φ = 6572160.

The previous prime is 23006063. The next prime is 23006107. The reversal of 23006088 is 88060032.

It can be written as a sum of positive squares in only one way, i.e., 14607684 + 8398404 = 3822^2 + 2898^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 268 + ... + 6788.

Almost surely, 223006088 is an apocalyptic number.

23006088 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 23006088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36246015).

23006088 is an abundant number, since it is smaller than the sum of its proper divisors (49485942).

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

23006088 is a wasteful number, since it uses less digits than its factorization.

23006088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6547 (or 6533 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 23006088 is about 4796.4661991929. The cubic root of 23006088 is about 284.4117877457.

The spelling of 23006088 in words is "twenty-three million, six thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 6521 13042 19563 26084 39126 45647 52168 58689 78252 91294 117378 136941 156504 182588 234756 273882 319529 365176 410823 469512 547764 639058 821646 958587 1095528 1278116 1643292 1917174 2556232 2875761 3286584 3834348 5751522 7668696 11503044 23006088