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13716672 = 263199359
BaseRepresentation
bin110100010100…
…110011000000
3221210212201220
4310110303000
512002413142
61205555040
7224406204
oct64246300
927725656
1013716672
1178195a2
124715a80
132ac3498
141b70b04
15130e2ec
hexd14cc0

13716672 has 56 divisors (see below), whose sum is σ = 36576000. Its totient is φ = 4536576.

The previous prime is 13716667. The next prime is 13716679. The reversal of 13716672 is 27661731.

It is not an unprimeable number, because it can be changed into a prime (13716679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38029 + ... + 38387.

Almost surely, 213716672 is an apocalyptic number.

13716672 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 13716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288000).

13716672 is an abundant number, since it is smaller than the sum of its proper divisors (22859328).

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

13716672 is a wasteful number, since it uses less digits than its factorization.

13716672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 563 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 13716672 is about 3703.6025704711. The cubic root of 13716672 is about 239.3772745070.

The spelling of 13716672 in words is "thirteen million, seven hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 359 398 597 718 796 1077 1194 1436 1592 2154 2388 2872 3184 4308 4776 5744 6368 8616 9552 11488 12736 17232 19104 22976 34464 38208 68928 71441 142882 214323 285764 428646 571528 857292 1143056 1714584 2286112 3429168 4572224 6858336 13716672