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96564 = 22313619
BaseRepresentation
bin10111100100110100
311220110110
4113210310
511042224
62023020
7551346
oct274464
9156413
1096564
1166606
1247a70
1334c50
1427296
151d929
hex17934

96564 has 24 divisors (see below), whose sum is σ = 243040. Its totient is φ = 29664.

The previous prime is 96557. The next prime is 96581. The reversal of 96564 is 46569.

It is a d-powerful number, because it can be written as 94 + 6 + 57 + 65 + 46 .

It is a congruent number.

It is an unprimeable number.

96564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 465.

296564 is an apocalyptic number.

It is an amenable number.

96564 is an abundant number, since it is smaller than the sum of its proper divisors (146476).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121520).

96564 is a wasteful number, since it uses less digits than its factorization.

96564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 637 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 96564 is about 310.7474859110. The cubic root of 96564 is about 45.8780639530.

The spelling of 96564 in words is "ninety-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 619 1238 1857 2476 3714 7428 8047 16094 24141 32188 48282 96564