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10390944 = 253176367
BaseRepresentation
bin100111101000…
…110110100000
3201112220200210
4213220312200
510130002234
61010414120
7154215204
oct47506640
921486623
1010390944
115957963
123591340
1321ca7b5
141546b04
15da3be9
hex9e8da0

10390944 has 48 divisors (see below), whose sum is σ = 28885248. Its totient is φ = 3259392.

The previous prime is 10390937. The next prime is 10390951. The reversal of 10390944 is 44909301.

It is an interprime number because it is at equal distance from previous prime (10390937) and next prime (10390951).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×103909442 = 215943434422272, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1552 + ... + 4815.

It is an arithmetic number, because the mean of its divisors is an integer number (601776).

Almost surely, 210390944 is an apocalyptic number.

It is an amenable number.

10390944 is an abundant number, since it is smaller than the sum of its proper divisors (18494304).

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

10390944 is a wasteful number, since it uses less digits than its factorization.

10390944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 10390944 is about 3223.4987203348. The cubic root of 10390944 is about 218.2152014575.

The spelling of 10390944 in words is "ten million, three hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 6367 12734 19101 25468 38202 50936 76404 101872 108239 152808 203744 216478 305616 324717 432956 611232 649434 865912 1298868 1731824 2597736 3463648 5195472 10390944