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56631420 = 223351731199
BaseRepresentation
bin1101100000001…
…0000001111100
310221120011201000
43120002001330
5103444201140
65341450300
71255234116
oct330020174
9127504630
1056631420
1129a7002a
1216b70990
13b96a921
1477423b6
154e89a30
hex360207c

56631420 has 192 divisors, whose sum is σ = 193536000. Its totient is φ = 13685760.

The previous prime is 56631409. The next prime is 56631427. The reversal of 56631420 is 2413665.

56631420 is a `hidden beast` number, since 5 + 6 + 631 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56631427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284481 + ... + 284679.

It is an arithmetic number, because the mean of its divisors is an integer number (1008000).

Almost surely, 256631420 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 56631420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

56631420 is an abundant number, since it is smaller than the sum of its proper divisors (136904580).

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

56631420 is a wasteful number, since it uses less digits than its factorization.

56631420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56631420 is about 7525.3850399830. The cubic root of 56631420 is about 384.0187979079.

The spelling of 56631420 in words is "fifty-six million, six hundred thirty-one thousand, four hundred twenty".