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10643808 = 253747337
BaseRepresentation
bin101000100110…
…100101100000
3202000202120010
4220212211200
510211100213
61020044520
7156320340
oct50464540
922022503
1010643808
11600a93a
123693740
132288916
1415b0d20
15e03ac3
hexa26960

10643808 has 96 divisors (see below), whose sum is σ = 32707584. Its totient is φ = 2967552.

The previous prime is 10643807. The next prime is 10643813. The reversal of 10643808 is 80834601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106438082 = 226581297481728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10643807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31416 + ... + 31752.

It is an arithmetic number, because the mean of its divisors is an integer number (340704).

Almost surely, 210643808 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 10643808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16353792).

10643808 is an abundant number, since it is smaller than the sum of its proper divisors (22063776).

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

10643808 is a wasteful number, since it uses less digits than its factorization.

10643808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10643808 is about 3262.4849424940. The cubic root of 10643808 is about 219.9711256871.

The spelling of 10643808 in words is "ten million, six hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 337 376 564 658 672 674 752 987 1011 1128 1316 1348 1504 1974 2022 2256 2359 2632 2696 3948 4044 4512 4718 5264 5392 7077 7896 8088 9436 10528 10784 14154 15792 15839 16176 18872 28308 31584 31678 32352 37744 47517 56616 63356 75488 95034 110873 113232 126712 190068 221746 226464 253424 332619 380136 443492 506848 665238 760272 886984 1330476 1520544 1773968 2660952 3547936 5321904 10643808