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130505664 = 2631733929
BaseRepresentation
bin1111100011101…
…01101111000000
3100002120101010010
413301311233000
5231402140124
620541104520
73143164662
oct761655700
9302511103
10130505664
1167737923
1237858140
13210649b3
1413492532
15b6cd529
hex7c75bc0

130505664 has 56 divisors (see below), whose sum is σ = 347380560. Its totient is φ = 43239424.

The previous prime is 130505647. The next prime is 130505671. The reversal of 130505664 is 466505031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31252 + ... + 35180.

Almost surely, 2130505664 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 130505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173690280).

130505664 is an abundant number, since it is smaller than the sum of its proper divisors (216874896).

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

130505664 is a wasteful number, since it uses less digits than its factorization.

130505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 130505664 is about 11423.9075626512. The cubic root of 130505664 is about 507.2356703842.

The spelling of 130505664 in words is "one hundred thirty million, five hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 173 192 346 519 692 1038 1384 2076 2768 3929 4152 5536 7858 8304 11072 11787 15716 16608 23574 31432 33216 47148 62864 94296 125728 188592 251456 377184 679717 754368 1359434 2039151 2718868 4078302 5437736 8156604 10875472 16313208 21750944 32626416 43501888 65252832 130505664