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130059540 = 223351397191
BaseRepresentation
bin1111100000010…
…00110100010100
3100001201201011000
413300020310110
5231243401130
620523343300
73136326222
oct760106424
9301651130
10130059540
1167462726
1237681b30
1320c39910
14133b7b12
15b641260
hex7c08d14

130059540 has 192 divisors, whose sum is σ = 442552320. Its totient is φ = 31518720.

The previous prime is 130059521. The next prime is 130059583. The reversal of 130059540 is 45950031.

130059540 is a `hidden beast` number, since 1 + 30 + 0 + 595 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680845 + ... + 681035.

It is an arithmetic number, because the mean of its divisors is an integer number (2304960).

Almost surely, 2130059540 is an apocalyptic number.

130059540 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 130059540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221276160).

130059540 is an abundant number, since it is smaller than the sum of its proper divisors (312492780).

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

130059540 is a wasteful number, since it uses less digits than its factorization.

130059540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 130059540 is about 11404.3649538236. The cubic root of 130059540 is about 506.6570279407.

The spelling of 130059540 in words is "one hundred thirty million, fifty-nine thousand, five hundred forty".