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130042580 = 2256502129
BaseRepresentation
bin1111100000001…
…00101011010100
3100001200211212212
413300010223110
5231242330310
620523132552
73136225613
oct760045324
9301624785
10130042580
1167450a08
1237674158
1320c31c95
14133b187a
15b63b205
hex7c04ad4

130042580 has 12 divisors (see below), whose sum is σ = 273089460. Its totient is φ = 52017024.

The previous prime is 130042573. The next prime is 130042589. The reversal of 130042580 is 85240031.

130042580 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 55323844 + 74718736 = 7438^2 + 8644^2 .

It is a super-2 number, since 2×1300425802 = 33822145226112800, which contains 22 as substring.

130042580 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130042589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3251045 + ... + 3251084.

It is an arithmetic number, because the mean of its divisors is an integer number (22757455).

Almost surely, 2130042580 is an apocalyptic number.

130042580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130042580 is an abundant number, since it is smaller than the sum of its proper divisors (143046880).

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

130042580 is a wasteful number, since it uses less digits than its factorization.

130042580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502138 (or 6502136 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 130042580 is about 11403.6213546399. The cubic root of 130042580 is about 506.6350039847.

The spelling of 130042580 in words is "one hundred thirty million, forty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 6502129 13004258 26008516 32510645 65021290 130042580