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130935720 = 23357314947
BaseRepresentation
bin1111100110111…
…10101110101000
3100010101020001010
413303132232220
5232004420340
620554223520
73146635536
oct763365650
9303336033
10130935720
1167a00a43
1237a24ba0
1321185676
1413565156
15b765b80
hex7cdeba8

130935720 has 64 divisors (see below), whose sum is σ = 398214720. Its totient is φ = 34435584.

The previous prime is 130935719. The next prime is 130935743. The reversal of 130935720 is 27539031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1287 + ... + 16233.

It is an arithmetic number, because the mean of its divisors is an integer number (6222105).

Almost surely, 2130935720 is an apocalyptic number.

130935720 is a gapful number since it is divisible by the number (10) 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 130935720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199107360).

130935720 is an abundant number, since it is smaller than the sum of its proper divisors (267279000).

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

130935720 is a wasteful number, since it uses less digits than its factorization.

130935720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15034 (or 15030 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 130935720 is about 11442.7147128643. The cubic root of 130935720 is about 507.7922249483.

The spelling of 130935720 in words is "one hundred thirty million, nine hundred thirty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 14947 29894 44841 59788 74735 89682 119576 149470 179364 224205 298940 358728 448410 597880 896820 1091131 1793640 2182262 3273393 4364524 5455655 6546786 8729048 10911310 13093572 16366965 21822620 26187144 32733930 43645240 65467860 130935720