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130832020 = 225114712653
BaseRepresentation
bin1111100110001…
…01011010010100
3100010011221210101
413303011122110
5231443111040
620552103444
73146024314
oct763053224
9303157711
10130832020
1167940040
1237994b84
132114a3c7
1413539444
15b74509a
hex7cc5694

130832020 has 48 divisors (see below), whose sum is σ = 306125568. Its totient is φ = 46559360.

The previous prime is 130832011. The next prime is 130832033. The reversal of 130832020 is 20238031.

It is a happy number.

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, 4014 + ... + 16666.

It is an arithmetic number, because the mean of its divisors is an integer number (6377616).

Almost surely, 2130832020 is an apocalyptic number.

130832020 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 130832020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153062784).

130832020 is an abundant number, since it is smaller than the sum of its proper divisors (175293548).

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

130832020 is a wasteful number, since it uses less digits than its factorization.

130832020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12720 (or 12718 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 130832020 is about 11438.1825479400. The cubic root of 130832020 is about 507.6581338044.

The spelling of 130832020 in words is "one hundred thirty million, eight hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 12653 25306 50612 63265 126530 139183 253060 278366 556732 594691 695915 1189382 1391830 2378764 2783660 2973455 5946910 6541601 11893820 13083202 26166404 32708005 65416010 130832020