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130694760 = 233257231239
BaseRepresentation
bin1111100101000…
…11111001101000
3100002220222111200
413302203321220
5231424213020
620545124200
73144613200
oct762437150
9302828450
10130694760
11678569a9
1237929660
13210ccaa1
1413501400
15b719590
hex7ca3e68

130694760 has 288 divisors, whose sum is σ = 512179200. Its totient is φ = 28788480.

The previous prime is 130694737. The next prime is 130694779. The reversal of 130694760 is 67496031.

It is a super-2 number, since 2×1306947602 = 34162240582915200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 546721 + ... + 546959.

It is an arithmetic number, because the mean of its divisors is an integer number (1778400).

Almost surely, 2130694760 is an apocalyptic number.

130694760 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 130694760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256089600).

130694760 is an abundant number, since it is smaller than the sum of its proper divisors (381484440).

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

130694760 is a wasteful number, since it uses less digits than its factorization.

130694760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 130694760 is about 11432.1808943001. The cubic root of 130694760 is about 507.4805382945.

The spelling of 130694760 in words is "one hundred thirty million, six hundred ninety-four thousand, seven hundred sixty".