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13427712 = 210323147
BaseRepresentation
bin110011001110…
…010000000000
3221021012100200
4303032100000
511414141322
61155445200
7222063564
oct63162000
927235320
1013427712
117641491
1245b6800
132a21abc
141ad76a4
1512a38ac
hexcce400

13427712 has 132 divisors (see below), whose sum is σ = 40874496. Its totient is φ = 4239360.

The previous prime is 13427683. The next prime is 13427719. The reversal of 13427712 is 21772431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13427719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285673 + ... + 285719.

Almost surely, 213427712 is an apocalyptic number.

13427712 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 13427712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20437248).

13427712 is an abundant number, since it is smaller than the sum of its proper divisors (27446784).

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

13427712 is a wasteful number, since it uses less digits than its factorization.

13427712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 13427712 is about 3664.3842593265. The cubic root of 13427712 is about 237.6843967774.

The spelling of 13427712 in words is "thirteen million, four hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 47 48 62 64 72 93 94 96 124 128 141 144 186 188 192 248 256 279 282 288 372 376 384 423 496 512 558 564 576 744 752 768 846 992 1024 1116 1128 1152 1457 1488 1504 1536 1692 1984 2232 2256 2304 2914 2976 3008 3072 3384 3968 4371 4464 4512 4608 5828 5952 6016 6768 7936 8742 8928 9024 9216 11656 11904 12032 13113 13536 15872 17484 17856 18048 23312 23808 24064 26226 27072 31744 34968 35712 36096 46624 47616 48128 52452 54144 69936 71424 72192 93248 95232 104904 108288 139872 142848 144384 186496 209808 216576 279744 285696 372992 419616 433152 559488 745984 839232 1118976 1491968 1678464 2237952 3356928 4475904 6713856 13427712