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130349664 = 25322915607
BaseRepresentation
bin1111100010011…
…11101001100000
3100002021110010100
413301033221200
5231332142124
620533502400
73141645114
oct761175140
9302243110
10130349664
11676406a5
12377a1a00
132100b9a3
1413451744
15b69c1c9
hex7c4fa60

130349664 has 72 divisors (see below), whose sum is σ = 383488560. Its totient is φ = 41948928.

The previous prime is 130349657. The next prime is 130349707. The reversal of 130349664 is 466943031.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549 + ... + 16155.

It is an arithmetic number, because the mean of its divisors is an integer number (5326230).

Almost surely, 2130349664 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 130349664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191744280).

130349664 is an abundant number, since it is smaller than the sum of its proper divisors (253138896).

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

130349664 is a wasteful number, since it uses less digits than its factorization.

130349664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15652 (or 15641 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 130349664 is about 11417.0777346920. The cubic root of 130349664 is about 507.0334816771.

The spelling of 130349664 in words is "one hundred thirty million, three hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 15607 31214 46821 62428 93642 124856 140463 187284 249712 280926 374568 452603 499424 561852 749136 905206 1123704 1357809 1498272 1810412 2247408 2715618 3620824 4073427 4494816 5431236 7241648 8146854 10862472 14483296 16293708 21724944 32587416 43449888 65174832 130349664