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130789056 = 2631674079
BaseRepresentation
bin1111100101110…
…10111011000000
3100010002202212010
413302322323000
5231440222211
620551132520
73145455126
oct762727300
9303082763
10130789056
1167910832
1237974140
1321133998
1413527916
15b7374a6
hex7cbaec0

130789056 has 56 divisors (see below), whose sum is σ = 348203520. Its totient is φ = 43324672.

The previous prime is 130789039. The next prime is 130789069. The reversal of 130789056 is 650987031.

It is a super-2 number, since 2×1307890562 = 34211554338742272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 30025 + ... + 34103.

It is an arithmetic number, because the mean of its divisors is an integer number (6217920).

Almost surely, 2130789056 is an apocalyptic number.

130789056 is a gapful number since it is divisible by the number (16) 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 130789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174101760).

130789056 is an abundant number, since it is smaller than the sum of its proper divisors (217414464).

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

130789056 is a wasteful number, since it uses less digits than its factorization.

130789056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 130789056 is about 11436.3042981551. The cubic root of 130789056 is about 507.6025576745.

The spelling of 130789056 in words is "one hundred thirty million, seven hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1336 2004 2672 4008 4079 5344 8016 8158 10688 12237 16032 16316 24474 32064 32632 48948 65264 97896 130528 195792 261056 391584 681193 783168 1362386 2043579 2724772 4087158 5449544 8174316 10899088 16348632 21798176 32697264 43596352 65394528 130789056