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130507014 = 231123149577
BaseRepresentation
bin1111100011101…
…10000100000110
3100002120102222010
413301312010012
5231402211024
620541115050
73143201631
oct761660406
9302512863
10130507014
1167738940
1237858a86
13210654b1
1413492c18
15b6cdb29
hex7c76106

130507014 has 64 divisors (see below), whose sum is σ = 299635200. Its totient is φ = 37509120.

The previous prime is 130507009. The next prime is 130507051. The reversal of 130507014 is 410705031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225894 + ... + 226470.

It is an arithmetic number, because the mean of its divisors is an integer number (4681800).

Almost surely, 2130507014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130507014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817600).

130507014 is an abundant number, since it is smaller than the sum of its proper divisors (169128186).

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

130507014 is a wasteful number, since it uses less digits than its factorization.

130507014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 130507014 is about 11423.9666491110. The cubic root of 130507014 is about 507.2374193908.

The spelling of 130507014 in words is "one hundred thirty million, five hundred seven thousand, fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 149 253 298 447 506 577 759 894 1154 1518 1639 1731 3278 3427 3462 4917 6347 6854 9834 10281 12694 13271 19041 20562 26542 37697 38082 39813 75394 79626 85973 113091 145981 171946 226182 257919 291962 437943 515838 875886 945703 1891406 1977379 2837109 3954758 5674218 5932137 11864274 21751169 43502338 65253507 130507014