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10613712 = 2431713007
BaseRepresentation
bin101000011111…
…001111010000
3201222020021110
4220133033100
510204114322
61015253320
7156133524
oct50371720
921866243
1010613712
115a9a26a
12367a240
132278005
1415a3d84
15de9c0c
hexa1f3d0

10613712 has 40 divisors (see below), whose sum is σ = 29033856. Its totient is φ = 3329536.

The previous prime is 10613693. The next prime is 10613731. The reversal of 10613712 is 21731601.

10613712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10613693) and next prime (10613731).

It is a super-2 number, since 2×106137122 = 225301764837888, 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, 5688 + ... + 7319.

Almost surely, 210613712 is an apocalyptic number.

10613712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10613712 is an abundant number, since it is smaller than the sum of its proper divisors (18420144).

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

10613712 is a wasteful number, since it uses less digits than its factorization.

10613712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13035 (or 13029 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10613712 is about 3257.8692423116. The cubic root of 10613712 is about 219.7636028238.

It can be divided in two parts, 10613 and 712, that added together give a triangular number (11325 = T150).

The spelling of 10613712 in words is "ten million, six hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 13007 26014 39021 52028 78042 104056 156084 208112 221119 312168 442238 624336 663357 884476 1326714 1768952 2653428 3537904 5306856 10613712