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130660800 = 26352163167
BaseRepresentation
bin1111100100110…
…11100111000000
3100002212020220220
413302123213000
5231422121200
620544303040
73144412164
oct762334700
9302766826
10130660800
1167833436
1237911a80
13210ba4aa
14134d2ca4
15b70e4a0
hex7c9b9c0

130660800 has 168 divisors, whose sum is σ = 433888896. Its totient is φ = 34421760.

The previous prime is 130660763. The next prime is 130660837. The reversal of 130660800 is 8066031.

It is an interprime number because it is at equal distance from previous prime (130660763) and next prime (130660837).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782317 + ... + 782483.

It is an arithmetic number, because the mean of its divisors is an integer number (2582672).

Almost surely, 2130660800 is an apocalyptic number.

130660800 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 130660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216944448).

130660800 is an abundant number, since it is smaller than the sum of its proper divisors (303228096).

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

130660800 is a wasteful number, since it uses less digits than its factorization.

130660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 130660800 is about 11430.6955168966. The cubic root of 130660800 is about 507.4365795518.

The spelling of 130660800 in words is "one hundred thirty million, six hundred sixty thousand, eight hundred".