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5597890560 = 21134517397
BaseRepresentation
bin1010011011010100…
…10000100000000000
3112110010102022020000
411031222100200000
542431024444220
62323250120000
7255502166433
oct51552204000
915403368200
105597890560
112412955039
121102880000
136b29992a2
143b165981a
1522b6a9390
hex14da90800

5597890560 has 480 divisors, whose sum is σ = 21298357080. Its totient is φ = 1401421824.

The previous prime is 5597890547. The next prime is 5597890567. The reversal of 5597890560 is 650987955.

It is a happy number.

5597890560 is a `hidden beast` number, since 5 + 5 + 9 + 78 + 9 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5309162496 + 288728064 = 72864^2 + 16992^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×55978905602 = 62672757443474227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5597890497 and 5597890506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5597890567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14100282 + ... + 14100678.

Almost surely, 25597890560 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 5597890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10649178540).

5597890560 is an abundant number, since it is smaller than the sum of its proper divisors (15700466520).

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

5597890560 is a wasteful number, since it uses less digits than its factorization.

5597890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The square root of 5597890560 is about 74819.0521190960. The cubic root of 5597890560 is about 1775.5850016469.

The spelling of 5597890560 in words is "five billion, five hundred ninety-seven million, eight hundred ninety thousand, five hundred sixty".