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130680800 = 2552163351
BaseRepresentation
bin1111100101000…
…00011111100000
3100002220021100122
413302200133200
5231423241200
620544535412
73144524405
oct762403740
9302807318
10130680800
1167847468
1237921568
13210c6623
14134da2ac
15b715385
hex7ca07e0

130680800 has 36 divisors (see below), whose sum is σ = 319026456. Its totient is φ = 52272000.

The previous prime is 130680787. The next prime is 130680829. The reversal of 130680800 is 8086031.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 130680800.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 80876 + ... + 82475.

It is an arithmetic number, because the mean of its divisors is an integer number (8861846).

Almost surely, 2130680800 is an apocalyptic number.

130680800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130680800 is an abundant number, since it is smaller than the sum of its proper divisors (188345656).

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

130680800 is a wasteful number, since it uses less digits than its factorization.

130680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163371 (or 163358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 130680800 is about 11431.5703208264. The cubic root of 130680800 is about 507.4624690147.

The spelling of 130680800 in words is "one hundred thirty million, six hundred eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 163351 326702 653404 816755 1306808 1633510 2613616 3267020 4083775 5227232 6534040 8167550 13068080 16335100 26136160 32670200 65340400 130680800