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10639392 = 253192307
BaseRepresentation
bin101000100101…
…100000100000
3202000112111120
4220211200200
510210430032
61020012240
7156301431
oct50454040
922015446
1010639392
116007595
123691080
1322868ca
1415ad488
15e0262c
hexa25820

10639392 has 72 divisors (see below), whose sum is σ = 29571696. Its totient is φ = 3348864.

The previous prime is 10639351. The next prime is 10639397. The reversal of 10639392 is 29393601.

It is a super-2 number, since 2×106393922 = 226393324259328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10639397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34503 + ... + 34809.

It is an arithmetic number, because the mean of its divisors is an integer number (410718).

Almost surely, 210639392 is an apocalyptic number.

10639392 is a gapful number since it is divisible by the number (12) 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 10639392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785848).

10639392 is an abundant number, since it is smaller than the sum of its proper divisors (18932304).

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

10639392 is a wasteful number, since it uses less digits than its factorization.

10639392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 10639392 is about 3261.8080875490. The cubic root of 10639392 is about 219.9407002710.

The spelling of 10639392 in words is "ten million, six hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 307 361 456 608 614 722 912 921 1083 1228 1444 1824 1842 2166 2456 2888 3684 4332 4912 5776 5833 7368 8664 9824 11552 11666 14736 17328 17499 23332 29472 34656 34998 46664 69996 93328 110827 139992 186656 221654 279984 332481 443308 559968 664962 886616 1329924 1773232 2659848 3546464 5319696 10639392