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130180014 = 2332997857
BaseRepresentation
bin1111100001001…
…10001110101110
3100001221211102000
413300212032232
5231311230024
620530113130
73140340366
oct760461656
9301854360
10130180014
1167535198
123771b7a6
1320c7c6c3
14134099a6
15b666cc9
hex7c263ae

130180014 has 64 divisors (see below), whose sum is σ = 302702400. Its totient is φ = 41416704.

The previous prime is 130179971. The next prime is 130180051. The reversal of 130180014 is 410081031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151474 + ... + 152330.

It is an arithmetic number, because the mean of its divisors is an integer number (4729725).

Almost surely, 2130180014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130180014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151351200).

130180014 is an abundant number, since it is smaller than the sum of its proper divisors (172522386).

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

130180014 is a wasteful number, since it uses less digits than its factorization.

130180014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 130180014 is about 11409.6456561981. The cubic root of 130180014 is about 506.8134182670.

The spelling of 130180014 in words is "one hundred thirty million, one hundred eighty thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 97 174 194 261 291 522 582 783 857 873 1566 1714 1746 2571 2619 2813 5142 5238 5626 7713 8439 15426 16878 23139 24853 25317 46278 49706 50634 74559 75951 83129 149118 151902 166258 223677 249387 447354 498774 671031 748161 1342062 1496322 2244483 2410741 4488966 4821482 7232223 14464446 21696669 43393338 65090007 130180014