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130932844 = 22717416709
BaseRepresentation
bin1111100110111…
…10000001101100
3100010101002002121
413303132001230
5232004322334
620554202324
73146624260
oct763360154
9303332077
10130932844
11679a9869
1237a233a4
1321184273
14135640a0
15b764db4
hex7cde06c

130932844 has 48 divisors (see below), whose sum is σ = 284074560. Its totient is φ = 51517440.

The previous prime is 130932839. The next prime is 130932869. The reversal of 130932844 is 448239031.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 16162 + ... + 22870.

It is an arithmetic number, because the mean of its divisors is an integer number (5918220).

Almost surely, 2130932844 is an apocalyptic number.

130932844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130932844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142037280).

130932844 is an abundant number, since it is smaller than the sum of its proper divisors (153141716).

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

130932844 is a wasteful number, since it uses less digits than its factorization.

130932844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778 (or 6776 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 130932844 is about 11442.5890426948. The cubic root of 130932844 is about 507.7885070397.

The spelling of 130932844 in words is "one hundred thirty million, nine hundred thirty-two thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 41 68 82 119 164 238 287 476 574 697 1148 1394 2788 4879 6709 9758 13418 19516 26836 46963 93926 114053 187852 228106 275069 456212 550138 798371 1100276 1596742 1925483 3193484 3850966 4676173 7701932 9352346 18704692 32733211 65466422 130932844