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13956912 = 2432103941
BaseRepresentation
bin110101001111…
…011100110000
3222021002021200
4311033130300
512033110122
61215051200
7226426464
oct65173460
928232250
1013956912
117973042
124810b00
132b78938
141bd44a4
15135a5ac
hexd4f730

13956912 has 60 divisors (see below), whose sum is σ = 39481104. Its totient is φ = 4602240.

The previous prime is 13956893. The next prime is 13956923. The reversal of 13956912 is 21965931.

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

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, 14362 + ... + 15302.

Almost surely, 213956912 is an apocalyptic number.

13956912 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 13956912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740552).

13956912 is an abundant number, since it is smaller than the sum of its proper divisors (25524192).

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

13956912 is a wasteful number, since it uses less digits than its factorization.

13956912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1049 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 13956912 is about 3735.8950734730. The cubic root of 13956912 is about 240.7667146775.

The spelling of 13956912 in words is "thirteen million, nine hundred fifty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 941 1236 1648 1854 1882 2472 2823 3708 3764 4944 5646 7416 7528 8469 11292 14832 15056 16938 22584 33876 45168 67752 96923 135504 193846 290769 387692 581538 775384 872307 1163076 1550768 1744614 2326152 3489228 4652304 6978456 13956912