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10339616 = 257311489
BaseRepresentation
bin100111011100…
…010100100000
3201110022021202
4213130110200
510121331431
61005340332
7153612440
oct47342440
921408252
1010339616
115922341
1235676a8
1321b0321
141532120
15d938cb
hex9dc520

10339616 has 48 divisors (see below), whose sum is σ = 24030720. Its totient is φ = 4285440.

The previous prime is 10339601. The next prime is 10339639. The reversal of 10339616 is 61693301.

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, 6200 + ... + 7688.

It is an arithmetic number, because the mean of its divisors is an integer number (500640).

Almost surely, 210339616 is an apocalyptic number.

10339616 is a gapful number since it is divisible by the number (16) 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 10339616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12015360).

10339616 is an abundant number, since it is smaller than the sum of its proper divisors (13691104).

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

10339616 is a wasteful number, since it uses less digits than its factorization.

10339616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 10339616 is about 3215.5273284486. The cubic root of 10339616 is about 217.8553033566.

The spelling of 10339616 in words is "ten million, three hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1489 1736 2978 3472 5956 6944 10423 11912 20846 23824 41692 46159 47648 83384 92318 166768 184636 323113 333536 369272 646226 738544 1292452 1477088 2584904 5169808 10339616