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130097940 = 2235721719137
BaseRepresentation
bin1111100000100…
…10001100010100
3100001210122211020
413300102030110
5231301113230
620524241140
73136546200
oct760221424
9301718736
10130097940
1167489565
12376a01b0
1320c5123b
14133c7b00
15b64c810
hex7c12314

130097940 has 288 divisors, whose sum is σ = 475735680. Its totient is φ = 26320896.

The previous prime is 130097939. The next prime is 130097951. The reversal of 130097940 is 49790031.

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 95 ways as a sum of consecutive naturals, for example, 949552 + ... + 949688.

It is an arithmetic number, because the mean of its divisors is an integer number (1651860).

Almost surely, 2130097940 is an apocalyptic number.

130097940 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 130097940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237867840).

130097940 is an abundant number, since it is smaller than the sum of its proper divisors (345637740).

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

130097940 is a wasteful number, since it uses less digits than its factorization.

130097940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 130097940 is about 11406.0483954786. The cubic root of 130097940 is about 506.7068864271.

The spelling of 130097940 in words is "one hundred thirty million, ninety-seven thousand, nine hundred forty".