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130012974 = 2327213172329
BaseRepresentation
bin1111011111111…
…01011100101110
3100001122100021100
413233331130232
5231240403344
620522343530
73136043400
oct757753456
9301570240
10130012974
1167430743
123765aba6
1320c21670
14133a4b70
15b632569
hex7bfd72e

130012974 has 288 divisors, whose sum is σ = 403341120. Its totient is φ = 29804544.

The previous prime is 130012913. The next prime is 130013011. The reversal of 130012974 is 479210031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4483192 + ... + 4483220.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2130012974 is an apocalyptic number.

130012974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130012974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

130012974 is an abundant number, since it is smaller than the sum of its proper divisors (273328146).

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

130012974 is a wasteful number, since it uses less digits than its factorization.

130012974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 130012974 is about 11402.3231843340. The cubic root of 130012974 is about 506.5965535676.

The spelling of 130012974 in words is "one hundred thirty million, twelve thousand, nine hundred seventy-four".