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10331904 = 283111223
BaseRepresentation
bin100111011010…
…011100000000
3201102220201010
4213122130000
510121110104
61005240520
7153551112
oct47323400
921386633
1010331904
115917570
123563140
1321a996b
14152d3b2
15d91489
hex9da700

10331904 has 72 divisors (see below), whose sum is σ = 30022272. Its totient is φ = 3128320.

The previous prime is 10331891. The next prime is 10331927. The reversal of 10331904 is 40913301.

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, 7837 + ... + 9059.

It is an arithmetic number, because the mean of its divisors is an integer number (416976).

Almost surely, 210331904 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 10331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15011136).

10331904 is an abundant number, since it is smaller than the sum of its proper divisors (19690368).

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

10331904 is a wasteful number, since it uses less digits than its factorization.

10331904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 10331904 is about 3214.3279235324. The cubic root of 10331904 is about 217.8011260388.

The spelling of 10331904 in words is "ten million, three hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1223 1408 2112 2446 2816 3669 4224 4892 7338 8448 9784 13453 14676 19568 26906 29352 39136 40359 53812 58704 78272 80718 107624 117408 156544 161436 215248 234816 313088 322872 430496 469632 645744 860992 939264 1291488 1721984 2582976 3443968 5165952 10331904