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10683904 = 29711271
BaseRepresentation
bin101000110000…
…011000000000
3202002210120011
4220300120000
510213341104
61020554304
7156545260
oct50603000
922083504
1010683904
116037a80
1236b2994
1322a0c4a
1415c17a0
15e10904
hexa30600

10683904 has 80 divisors (see below), whose sum is σ = 26712576. Its totient is φ = 4147200.

The previous prime is 10683889. The next prime is 10683917. The reversal of 10683904 is 40938601.

It is a super-2 number, since 2×106839042 = 228291609362432, 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 7 ways as a sum of consecutive naturals, for example, 39289 + ... + 39559.

Almost surely, 210683904 is an apocalyptic number.

10683904 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 10683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356288).

10683904 is an abundant number, since it is smaller than the sum of its proper divisors (16028672).

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

10683904 is an equidigital number, since it uses as much as digits as its factorization.

10683904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 10683904 is about 3268.6241753986. The cubic root of 10683904 is about 220.2469953204.

The spelling of 10683904 in words is "ten million, six hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 271 308 352 448 512 542 616 704 896 1084 1232 1408 1792 1897 2168 2464 2816 2981 3584 3794 4336 4928 5632 5962 7588 8672 9856 11924 15176 17344 19712 20867 23848 30352 34688 39424 41734 47696 60704 69376 83468 95392 121408 138752 166936 190784 242816 333872 381568 485632 667744 763136 971264 1335488 1526272 2670976 5341952 10683904