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13956992 = 27737421
BaseRepresentation
bin110101001111…
…011110000000
3222021002101122
4311033132000
512033110432
61215051412
7226426640
oct65173600
928232348
1013956992
117973105
124810b68
132b7899a
141bd4520
15135a612
hexd4f780

13956992 has 64 divisors (see below), whose sum is σ = 32713440. Its totient is φ = 5806080.

The previous prime is 13956991. The next prime is 13956997. The reversal of 13956992 is 29965931.

13956992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13956991) 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, 32942 + ... + 33362.

Almost surely, 213956992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356720).

13956992 is an abundant number, since it is smaller than the sum of its proper divisors (18756448).

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

13956992 is an equidigital number, since it uses as much as digits as its factorization.

13956992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its digits is 131220, while the sum is 44.

The square root of 13956992 is about 3735.9057803965. The cubic root of 13956992 is about 240.7671746957.

The spelling of 13956992 in words is "thirteen million, nine hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 421 448 518 592 842 896 1036 1184 1684 2072 2368 2947 3368 4144 4736 5894 6736 8288 11788 13472 15577 16576 23576 26944 31154 33152 47152 53888 62308 94304 109039 124616 188608 218078 249232 377216 436156 498464 872312 996928 1744624 1993856 3489248 6978496 13956992