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13907952 = 2432591637
BaseRepresentation
bin110101000011…
…011111110000
3222011121010100
4311003133300
512030023302
61214032400
7226133652
oct65033760
928147110
1013907952
11793a283
1247a8700
132b5c576
141bc06d2
15134ad1c
hexd437f0

13907952 has 60 divisors (see below), whose sum is σ = 39606840. Its totient is φ = 4554624.

The previous prime is 13907951. The next prime is 13907953. The reversal of 13907952 is 25970931.

It is an interprime number because it is at equal distance from previous prime (13907951) and next prime (13907953).

It is a super-2 number, since 2×139079522 = 386862257668608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13907951) by changing a digit.

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, 7678 + ... + 9314.

It is an arithmetic number, because the mean of its divisors is an integer number (660114).

Almost surely, 213907952 is an apocalyptic number.

13907952 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 13907952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803420).

13907952 is an abundant number, since it is smaller than the sum of its proper divisors (25698888).

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

13907952 is a wasteful number, since it uses less digits than its factorization.

13907952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 13907952 is about 3729.3366702404. The cubic root of 13907952 is about 240.4848531629.

The spelling of 13907952 in words is "thirteen million, nine hundred seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 1637 2124 2832 3274 4248 4911 6548 8496 9822 13096 14733 19644 26192 29466 39288 58932 78576 96583 117864 193166 235728 289749 386332 579498 772664 869247 1158996 1545328 1738494 2317992 3476988 4635984 6953976 13907952