Search a number
-
+
56709900 = 2232521337131
BaseRepresentation
bin1101100001010…
…1001100001100
310221201011100200
43120111030030
5104004204100
65343253500
71256011662
oct330251414
9127634320
1056709900
112a013a95
1216baa290
13b997570
147762c32
154ea2e00
hex361530c

56709900 has 216 divisors, whose sum is σ = 198101904. Its totient is φ = 13478400.

The previous prime is 56709827. The next prime is 56709907. The reversal of 56709900 is 990765.

56709900 is a `hidden beast` number, since 567 + 0 + 9 + 90 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56709907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 432835 + ... + 432965.

Almost surely, 256709900 is an apocalyptic number.

56709900 is a gapful number since it is divisible by the number (50) 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 56709900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99050952).

56709900 is an abundant number, since it is smaller than the sum of its proper divisors (141392004).

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

56709900 is a wasteful number, since it uses less digits than its factorization.

56709900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

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

The square root of 56709900 is about 7530.5975858493. The cubic root of 56709900 is about 384.1961075138.

The spelling of 56709900 in words is "fifty-six million, seven hundred nine thousand, nine hundred".