Search a number
-
+
130070512 = 24111324373
BaseRepresentation
bin1111100000010…
…11011111110000
3100001202021012101
413300023133300
5231244224022
620523510144
73136403215
oct760133760
9301667171
10130070512
116746a9a0
1237688354
1320c41900
14133bbb0c
15b644627
hex7c0b7f0

130070512 has 60 divisors (see below), whose sum is σ = 297764424. Its totient is φ = 54562560.

The previous prime is 130070477. The next prime is 130070531. The reversal of 130070512 is 215070031.

It is a super-3 number, since 3×1300705123 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130070512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27558 + ... + 31930.

Almost surely, 2130070512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130070512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148882212).

130070512 is an abundant number, since it is smaller than the sum of its proper divisors (167693912).

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

130070512 is a wasteful number, since it uses less digits than its factorization.

130070512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 130070512 is about 11404.8459875616. The cubic root of 130070512 is about 506.6712749658.

The spelling of 130070512 in words is "one hundred thirty million, seventy thousand, five hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 169 176 208 286 338 572 676 1144 1352 1859 2288 2704 3718 4373 7436 8746 14872 17492 29744 34984 48103 56849 69968 96206 113698 192412 227396 384824 454792 625339 739037 769648 909584 1250678 1478074 2501356 2956148 5002712 5912296 8129407 10005424 11824592 16258814 32517628 65035256 130070512