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10644564 = 2237243421
BaseRepresentation
bin101000100110…
…110001010100
3202000210121010
4220212301110
510211111224
61020052220
7156322500
oct50466124
922023533
1010644564
116010467
123694070
132289078
1415b1300
15e03e29
hexa26c54

10644564 has 72 divisors (see below), whose sum is σ = 29634528. Its totient is φ = 2963520.

The previous prime is 10644559. The next prime is 10644577. The reversal of 10644564 is 46544601.

It is a super-2 number, since 2×106445642 = 226613485500192, which contains 22 as substring.

It is a congruent number.

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, 25074 + ... + 25494.

Almost surely, 210644564 is an apocalyptic number.

10644564 is a gapful number since it is divisible by the number (14) 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 10644564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817264).

10644564 is an abundant number, since it is smaller than the sum of its proper divisors (18989964).

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

10644564 is a wasteful number, since it uses less digits than its factorization.

10644564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 10644564 is about 3262.6008030404. The cubic root of 10644564 is about 219.9763335423.

The spelling of 10644564 in words is "ten million, six hundred forty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 421 516 588 602 842 903 1204 1263 1684 1806 2107 2526 2947 3612 4214 5052 5894 6321 8428 8841 11788 12642 17682 18103 20629 25284 35364 36206 41258 54309 61887 72412 82516 108618 123774 126721 217236 247548 253442 380163 506884 760326 887047 1520652 1774094 2661141 3548188 5322282 10644564