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10640564 = 22112931269
BaseRepresentation
bin101000100101…
…110010110100
3202000121002222
4220211302310
510210444224
61020021512
7156305024
oct50456264
922017088
1010640564
116008460
123691898
1322872bc
1415ada84
15e02b5e
hexa25cb4

10640564 has 48 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 4502400.

The previous prime is 10640543. The next prime is 10640569. The reversal of 10640564 is 46504601.

It is a happy number.

It is a super-2 number, since 2×106405642 = 226443204476192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39422 + ... + 39690.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 210640564 is an apocalyptic number.

It is an amenable number.

10640564 is an abundant number, since it is smaller than the sum of its proper divisors (11132236).

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

10640564 is a wasteful number, since it uses less digits than its factorization.

10640564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 10640564 is about 3261.9877375613. The cubic root of 10640564 is about 219.9487759529.

The spelling of 10640564 in words is "ten million, six hundred forty thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 29 31 44 58 62 116 124 269 319 341 538 638 682 899 1076 1276 1364 1798 2959 3596 5918 7801 8339 9889 11836 15602 16678 19778 31204 33356 39556 85811 91729 171622 183458 241831 343244 366916 483662 967324 2660141 5320282 10640564