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130833672 = 23317331511
BaseRepresentation
bin1111100110001…
…01110100001000
3100010012001001120
413303011310020
5231443134142
620552115240
73146032164
oct763056410
9303161046
10130833672
1167941302
1237995b20
132114b098
1413539ca4
15b7457ec
hex7cc5d08

130833672 has 32 divisors (see below), whose sum is σ = 328985280. Its totient is φ = 43357760.

The previous prime is 130833667. The next prime is 130833673. The reversal of 130833672 is 276338031.

It is not an unprimeable number, because it can be changed into a prime (130833673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11604 + ... + 19907.

It is an arithmetic number, because the mean of its divisors is an integer number (10280790).

Almost surely, 2130833672 is an apocalyptic number.

130833672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130833672 is an abundant number, since it is smaller than the sum of its proper divisors (198151608).

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

130833672 is a wasteful number, since it uses less digits than its factorization.

130833672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31693 (or 31689 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 130833672 is about 11438.2547619818. The cubic root of 130833672 is about 507.6602705079.

It can be divided in two parts, 1308 and 33672, that added together give a triangular number (34980 = T264).

The spelling of 130833672 in words is "one hundred thirty million, eight hundred thirty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 173 346 519 692 1038 1384 2076 4152 31511 63022 94533 126044 189066 252088 378132 756264 5451403 10902806 16354209 21805612 32708418 43611224 65416836 130833672