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13799376 = 2433171879
BaseRepresentation
bin110100101000…
…111111010000
3221222002012000
4310220333100
512013040001
61211434000
7225202263
oct64507720
927862160
1013799376
117875748
124755900
132b22016
141b92cda
151328a86
hexd28fd0

13799376 has 80 divisors (see below), whose sum is σ = 41961600. Its totient is φ = 4326912.

The previous prime is 13799351. The next prime is 13799399. The reversal of 13799376 is 67399731.

13799376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6405 + ... + 8283.

It is an arithmetic number, because the mean of its divisors is an integer number (524520).

Almost surely, 213799376 is an apocalyptic number.

13799376 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 13799376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20980800).

13799376 is an abundant number, since it is smaller than the sum of its proper divisors (28162224).

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

13799376 is a wasteful number, since it uses less digits than its factorization.

13799376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1901 counting only the distinct ones).

The product of its digits is 214326, while the sum is 45.

The square root of 13799376 is about 3714.7511356752. The cubic root of 13799376 is about 239.8574153068.

The spelling of 13799376 in words is "thirteen million, seven hundred ninety-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 1879 2448 3672 3758 5637 7344 7516 11274 15032 16911 22548 30064 31943 33822 45096 50733 63886 67644 90192 95829 101466 127772 135288 191658 202932 255544 270576 287487 383316 405864 511088 574974 766632 811728 862461 1149948 1533264 1724922 2299896 3449844 4599792 6899688 13799376