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55660500 = 22335371931
BaseRepresentation
bin1101010001010…
…0111111010100
310212201211212000
43110110333110
5103222114000
65304555300
71244051340
oct324247724
9125654760
1055660500
1129467615
1216782b30
13b6baa0c
14756c620
154d47000
hex3514fd4

55660500 has 384 divisors, whose sum is σ = 223641600. Its totient is φ = 11664000.

The previous prime is 55660489. The next prime is 55660513. The reversal of 55660500 is 506655.

55660500 is a `hidden beast` number, since 5 + 56 + 605 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1795485 + ... + 1795515.

It is an arithmetic number, because the mean of its divisors is an integer number (582400).

Almost surely, 255660500 is an apocalyptic number.

55660500 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 55660500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111820800).

55660500 is an abundant number, since it is smaller than the sum of its proper divisors (167981100).

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

55660500 is a wasteful number, since it uses less digits than its factorization.

55660500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55660500 is about 7460.5964908980. The cubic root of 55660500 is about 381.8115258580.

The spelling of 55660500 in words is "fifty-five million, six hundred sixty thousand, five hundred".