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5897136960 = 2634511133743
BaseRepresentation
bin1010111110111111…
…10010101101000000
3120012222111121010000
411133133302231000
544034131340320
62413100040000
7266064560061
oct53737625500
916188447100
105897136960
112556864310
121186b33000
1372c992070
143dd2b4568
15247ab9c90
hex15f7f2b40

5897136960 has 1120 divisors, whose sum is σ = 25899172992. Its totient is φ = 1254113280.

The previous prime is 5897136943. The next prime is 5897136961. The reversal of 5897136960 is 696317985.

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 = 5897136897 and 5897136906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5897136961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 137142699 + ... + 137142741.

Almost surely, 25897136960 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 5897136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12949586496).

5897136960 is an abundant number, since it is smaller than the sum of its proper divisors (20002036032).

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

5897136960 is a wasteful number, since it uses less digits than its factorization.

5897136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 5897136960 is about 76792.8184142241. The cubic root of 5897136960 is about 1806.6765381801.

The spelling of 5897136960 in words is "five billion, eight hundred ninety-seven million, one hundred thirty-six thousand, nine hundred sixty".