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130321656 = 23335471103
BaseRepresentation
bin1111100010010…
…00110011111000
3100002020000201000
413301020303320
5231330243111
620533125000
73141500343
oct761106370
9302200630
10130321656
1167621653
1237789760
1320ccc00a
141344545a
15b693c56
hex7c48cf8

130321656 has 64 divisors (see below), whose sum is σ = 362995200. Its totient is φ = 43321824.

The previous prime is 130321649. The next prime is 130321673. The reversal of 130321656 is 656123031.

130321656 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 2 + 1 + 656 = 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 15 ways as a sum of consecutive naturals, for example, 117601 + ... + 118703.

It is an arithmetic number, because the mean of its divisors is an integer number (5671800).

Almost surely, 2130321656 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 130321656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181497600).

130321656 is an abundant number, since it is smaller than the sum of its proper divisors (232673544).

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

130321656 is a wasteful number, since it uses less digits than its factorization.

130321656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 130321656 is about 11415.8510852236. The cubic root of 130321656 is about 506.9971639490.

Adding to 130321656 its reverse (656123031), we get a palindrome (786444687).

The spelling of 130321656 in words is "one hundred thirty million, three hundred twenty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 547 1094 1103 1641 2188 2206 3282 3309 4376 4412 4923 6564 6618 8824 9846 9927 13128 13236 14769 19692 19854 26472 29538 29781 39384 39708 59076 59562 79416 118152 119124 238248 603341 1206682 1810023 2413364 3620046 4826728 5430069 7240092 10860138 14480184 16290207 21720276 32580414 43440552 65160828 130321656