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130524264 = 233313234347
BaseRepresentation
bin1111100011110…
…10010001101000
3100002121022122000
413301322101220
5231403234024
620541331000
73143303133
oct761722150
9302538560
10130524264
116774a8a2
1237866a60
13210702c0
141349921a
15b6d3cc9
hex7c7a468

130524264 has 256 divisors, whose sum is σ = 425779200. Its totient is φ = 36723456.

The previous prime is 130524259. The next prime is 130524293. The reversal of 130524264 is 462425031.

130524264 is a `hidden beast` number, since 130 + 524 + 2 + 6 + 4 = 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 63 ways as a sum of consecutive naturals, for example, 2777089 + ... + 2777135.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 2130524264 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 130524264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212889600).

130524264 is an abundant number, since it is smaller than the sum of its proper divisors (295254936).

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

130524264 is a wasteful number, since it uses less digits than its factorization.

130524264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 130524264 is about 11424.7216158644. The cubic root of 130524264 is about 507.2597667465.

Adding to 130524264 its reverse (462425031), we get a palindrome (592949295).

The spelling of 130524264 in words is "one hundred thirty million, five hundred twenty-four thousand, two hundred sixty-four".