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23085696 = 27379761
BaseRepresentation
bin101100000010…
…0001010000000
31121102212121210
41120010022000
521402220241
62142450120
7400140144
oct130041200
947385553
1023085696
1112038697
127893940
134a23a9a
1430cd224
152060316
hex1604280

23085696 has 64 divisors (see below), whose sum is σ = 62179200. Its totient is φ = 7587840.

The previous prime is 23085683. The next prime is 23085707. The reversal of 23085696 is 69658032.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29956 + ... + 30716.

It is an arithmetic number, because the mean of its divisors is an integer number (971550).

Almost surely, 223085696 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 23085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31089600).

23085696 is an abundant number, since it is smaller than the sum of its proper divisors (39093504).

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

23085696 is an equidigital number, since it uses as much as digits as its factorization.

23085696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 23085696 is about 4804.7576421709. The cubic root of 23085696 is about 284.7394602625.

Subtracting from 23085696 its product of nonzero digits (77760), we obtain a triangular number (23007936 = T6783).

The spelling of 23085696 in words is "twenty-three million, eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 761 948 1264 1522 1896 2283 2528 3044 3792 4566 5056 6088 7584 9132 10112 12176 15168 18264 24352 30336 36528 48704 60119 73056 97408 120238 146112 180357 240476 292224 360714 480952 721428 961904 1442856 1923808 2885712 3847616 5771424 7695232 11542848 23085696