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13973952 = 26373997
BaseRepresentation
bin110101010011…
…100111000000
3222021221122210
4311103213000
512034131302
61215302120
7226530246
oct65234700
928257583
1013973952
117984923
12481a940
132b83615
141bda796
15136066c
hexd539c0

13973952 has 56 divisors (see below), whose sum is σ = 37516816. Its totient is φ = 4589568.

The previous prime is 13973951. The next prime is 13974001. The reversal of 13973952 is 25937931.

It is a self number, because there is not a number n which added to its sum of digits gives 13973952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13973951) 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, 13518 + ... + 14514.

Almost surely, 213973952 is an apocalyptic number.

13973952 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 13973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18758408).

13973952 is an abundant number, since it is smaller than the sum of its proper divisors (23542864).

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

13973952 is an equidigital number, since it uses as much as digits as its factorization.

13973952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1075 counting only the distinct ones).

The product of its digits is 51030, while the sum is 39.

The square root of 13973952 is about 3738.1749557772. The cubic root of 13973952 is about 240.8646588909.

The spelling of 13973952 in words is "thirteen million, nine hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 997 1168 1752 1994 2336 2991 3504 3988 4672 5982 7008 7976 11964 14016 15952 23928 31904 47856 63808 72781 95712 145562 191424 218343 291124 436686 582248 873372 1164496 1746744 2328992 3493488 4657984 6986976 13973952