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13956408 = 233364613
BaseRepresentation
bin110101001111…
…010100111000
3222021001121000
4311033110320
512033101113
61215045000
7226425144
oct65172470
928231530
1013956408
117972724
124810760
132b7863b
141bd4224
15135a373
hexd4f538

13956408 has 32 divisors (see below), whose sum is σ = 38768400. Its totient is φ = 4652064.

The previous prime is 13956407. The next prime is 13956413. The reversal of 13956408 is 80465931.

13956408 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 640 + 8 = 666.

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 (13956401) 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 7 ways as a sum of consecutive naturals, for example, 32091 + ... + 32522.

Almost surely, 213956408 is an apocalyptic number.

13956408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13956408 is an abundant number, since it is smaller than the sum of its proper divisors (24811992).

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

13956408 is a wasteful number, since it uses less digits than its factorization.

13956408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64628 (or 64618 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13956408 is about 3735.8276191495. The cubic root of 13956408 is about 240.7638165225.

The spelling of 13956408 in words is "thirteen million, nine hundred fifty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 64613 129226 193839 258452 387678 516904 581517 775356 1163034 1550712 1744551 2326068 3489102 4652136 6978204 13956408