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13719792 = 243535393
BaseRepresentation
bin110100010101…
…100011110000
3221211001000110
4310111203300
512003013132
61210021320
7224421252
oct64254360
927731013
1013719792
117820979
124717840
132ac4a28
141b71cd2
1513101cc
hexd158f0

13719792 has 40 divisors (see below), whose sum is σ = 36118224. Its totient is φ = 4486144.

The previous prime is 13719787. The next prime is 13719793. The reversal of 13719792 is 29791731.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13719792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13719793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153 + ... + 5240.

Almost surely, 213719792 is an apocalyptic number.

13719792 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 13719792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18059112).

13719792 is an abundant number, since it is smaller than the sum of its proper divisors (22398432).

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

13719792 is a wasteful number, since it uses less digits than its factorization.

13719792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5451 counting only the distinct ones).

The product of its digits is 23814, while the sum is 39.

The square root of 13719792 is about 3704.0237580232. The cubic root of 13719792 is about 239.3954227497.

The spelling of 13719792 in words is "thirteen million, seven hundred nineteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 5393 10786 16179 21572 32358 43144 64716 86288 129432 258864 285829 571658 857487 1143316 1714974 2286632 3429948 4573264 6859896 13719792