Search a number
-
+
130032864 = 25341317227
BaseRepresentation
bin1111100000000…
…10010011100000
3100001200100120000
413300002103200
5231242022424
620523020000
73136155363
oct760022340
9301610500
10130032864
1167444685
123766a600
1320c2a730
14133ac0da
15b6383c9
hex7c024e0

130032864 has 240 divisors, whose sum is σ = 437987088. Its totient is φ = 37490688.

The previous prime is 130032811. The next prime is 130032883. The reversal of 130032864 is 468230031.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 572719 + ... + 572945.

Almost surely, 2130032864 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 130032864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218993544).

130032864 is an abundant number, since it is smaller than the sum of its proper divisors (307954224).

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

130032864 is a wasteful number, since it uses less digits than its factorization.

130032864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 130032864 is about 11403.1953416575. The cubic root of 130032864 is about 506.6223860963.

Adding to 130032864 its reverse (468230031), we get a palindrome (598262895).

The spelling of 130032864 in words is "one hundred thirty million, thirty-two thousand, eight hundred sixty-four".