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13942656 = 2732721319
BaseRepresentation
bin110101001011…
…111110000000
3222020100201200
4311023332000
512032131111
61214501200
7226340100
oct65137600
928210650
1013942656
117963362
124804800
132b722c0
141bcd200
151356256
hexd4bf80

13942656 has 288 divisors, whose sum is σ = 52907400. Its totient is φ = 3483648.

The previous prime is 13942639. The next prime is 13942661. The reversal of 13942656 is 65624931.

It is a happy number.

13942656 is a `hidden beast` number, since 1 + 394 + 265 + 6 = 666.

13942656 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 (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13942656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733815 + ... + 733833.

Almost surely, 213942656 is an apocalyptic number.

13942656 is a gapful number since it is divisible by the number (16) 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 13942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26453700).

13942656 is an abundant number, since it is smaller than the sum of its proper divisors (38964744).

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

13942656 is a wasteful number, since it uses less digits than its factorization.

13942656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 44 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13942656 is about 3733.9866095100. The cubic root of 13942656 is about 240.6847113521.

The spelling of 13942656 in words is "thirteen million, nine hundred forty-two thousand, six hundred fifty-six".