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130802688 = 210341983
BaseRepresentation
bin1111100101111…
…10010000000000
3100010010110120000
413302332100000
5231441141223
620551320000
73145542642
oct762762000
9303113500
10130802688
116791aaa5
1237980000
1321139c53
141352c892
15b73b543
hex7cbe400

130802688 has 220 divisors, whose sum is σ = 416114160. Its totient is φ = 40808448.

The previous prime is 130802653. The next prime is 130802713. The reversal of 130802688 is 886208031.

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 19 ways as a sum of consecutive naturals, for example, 1575895 + ... + 1575977.

It is an arithmetic number, because the mean of its divisors is an integer number (1891428).

Almost surely, 2130802688 is an apocalyptic number.

130802688 is a gapful number since it is divisible by the number (18) 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 130802688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208057080).

130802688 is an abundant number, since it is smaller than the sum of its proper divisors (285311472).

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

130802688 is an equidigital number, since it uses as much as digits as its factorization.

130802688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 130802688 is about 11436.9002793589. The cubic root of 130802688 is about 507.6201926813.

The spelling of 130802688 in words is "one hundred thirty million, eight hundred two thousand, six hundred eighty-eight".