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56687040 = 263115
BaseRepresentation
bin1101100000111…
…1100111000000
310221200000000000
43120033213000
5104002441130
65343000000
71255555224
oct330174700
9127600000
1056687040
1129aa88a3
1216b99000
13b98a037
147758784
154e9b260
hex360f9c0

56687040 has 168 divisors, whose sum is σ = 202478640. Its totient is φ = 15116544.

The previous prime is 56687021. The next prime is 56687047. The reversal of 56687040 is 4078665.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 56686986 and 56687004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56687047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11337406 + ... + 11337410.

It is an arithmetic number, because the mean of its divisors is an integer number (1205230).

Almost surely, 256687040 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 56687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101239320).

56687040 is an abundant number, since it is smaller than the sum of its proper divisors (145791600).

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

56687040 is an frugal number, since it uses more digits than its factorization.

56687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56687040 is about 7529.0796250272. The cubic root of 56687040 is about 384.1444768849.

The spelling of 56687040 in words is "fifty-six million, six hundred eighty-seven thousand, forty".