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13944816 = 2432179541
BaseRepresentation
bin110101001100…
…011111110000
3222020110200200
4311030133300
512032213231
61214515200
7226346304
oct65143760
928213620
1013944816
117964a46
124805b00
132b73292
141bcdd04
151356be6
hexd4c7f0

13944816 has 60 divisors (see below), whose sum is σ = 39316680. Its totient is φ = 4613760.

The previous prime is 13944809. The next prime is 13944839. The reversal of 13944816 is 61844931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25506 + ... + 26046.

It is an arithmetic number, because the mean of its divisors is an integer number (655278).

Almost surely, 213944816 is an apocalyptic number.

13944816 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 13944816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19658340).

13944816 is an abundant number, since it is smaller than the sum of its proper divisors (25371864).

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

13944816 is a wasteful number, since it uses less digits than its factorization.

13944816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 725 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13944816 is about 3734.2758334113. The cubic root of 13944816 is about 240.6971396903.

The spelling of 13944816 in words is "thirteen million, nine hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 537 541 716 1074 1082 1432 1611 1623 2148 2164 2864 3222 3246 4296 4328 4869 6444 6492 8592 8656 9738 12888 12984 19476 25776 25968 38952 77904 96839 193678 290517 387356 581034 774712 871551 1162068 1549424 1743102 2324136 3486204 4648272 6972408 13944816