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130142376 = 23347132207
BaseRepresentation
bin1111100000111…
…01000010101000
3100001212220210000
413300131002220
5231304024001
620525223000
73140122560
oct760350250
9301786700
10130142376
1167509991
1237701a60
1320c68530
14133d9da0
15b65aa86
hex7c1d0a8

130142376 has 160 divisors (see below), whose sum is σ = 448842240. Its totient is φ = 34307712.

The previous prime is 130142359. The next prime is 130142387. The reversal of 130142376 is 673241031.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57865 + ... + 60071.

It is an arithmetic number, because the mean of its divisors is an integer number (2805264).

Almost surely, 2130142376 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 130142376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224421120).

130142376 is an abundant number, since it is smaller than the sum of its proper divisors (318699864).

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

130142376 is a wasteful number, since it uses less digits than its factorization.

130142376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130142376 is about 11407.9961430569. The cubic root of 130142376 is about 506.7645698006.

The spelling of 130142376 in words is "one hundred thirty million, one hundred forty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2207 2268 2457 2808 3276 4212 4414 4536 4914 6552 6621 7371 8424 8828 9828 13242 14742 15449 17656 19656 19863 26484 28691 29484 30898 39726 46347 52968 57382 58968 59589 61796 79452 86073 92694 114764 119178 123592 139041 158904 172146 178767 185388 200837 229528 238356 258219 278082 344292 357534 370776 401674 417123 476712 516438 556164 602511 688584 715068 774657 803348 834246 1032876 1112328 1205022 1251369 1430136 1549314 1606696 1668492 1807533 2065752 2323971 2410044 2502738 3098628 3336984 3615066 4647942 4820088 5005476 5422599 6197256 7230132 9295884 10010952 10845198 14460264 16267797 18591768 21690396 32535594 43380792 65071188 130142376