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130055874 = 231319127691
BaseRepresentation
bin1111100000001…
…11111011000010
3100001201112010020
413300013323002
5231243241444
620523314310
73136312434
oct760077302
9301645106
10130055874
116745a9a3
123767b996
1320c38050
14133b6654
15b640119
hex7c07ec2

130055874 has 64 divisors (see below), whose sum is σ = 297615360. Its totient is φ = 37558080.

The previous prime is 130055873. The next prime is 130055879. The reversal of 130055874 is 478550031.

It is not an unprimeable number, because it can be changed into a prime (130055873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187869 + ... + 188559.

It is an arithmetic number, because the mean of its divisors is an integer number (4650240).

Almost surely, 2130055874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130055874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148807680).

130055874 is an abundant number, since it is smaller than the sum of its proper divisors (167559486).

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

130055874 is a wasteful number, since it uses less digits than its factorization.

130055874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855.

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 130055874 is about 11404.2042247585. The cubic root of 130055874 is about 506.6522675001.

The spelling of 130055874 in words is "one hundred thirty million, fifty-five thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 127 247 254 381 494 691 741 762 1382 1482 1651 2073 2413 3302 4146 4826 4953 7239 8983 9906 13129 14478 17966 26258 26949 31369 39387 53898 62738 78774 87757 94107 170677 175514 188214 263271 341354 512031 526542 1024062 1140841 1667383 2281682 3334766 3422523 5002149 6845046 10004298 21675979 43351958 65027937 130055874