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130196976 = 24371341727
BaseRepresentation
bin1111100001010…
…10010111110000
3100001222200200020
413300222113300
5231312300401
620530323440
73140441010
oct760522760
9301880606
10130196976
1167546a08
1237729580
1320c87340
1413411c40
15b66bd36
hex7c2a5f0

130196976 has 160 divisors (see below), whose sum is σ = 424639488. Its totient is φ = 33454080.

The previous prime is 130196953. The next prime is 130196981. The reversal of 130196976 is 679691031.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 178725 + ... + 179451.

Almost surely, 2130196976 is an apocalyptic number.

130196976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130196976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212319744).

130196976 is an abundant number, since it is smaller than the sum of its proper divisors (294442512).

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

130196976 is a wasteful number, since it uses less digits than its factorization.

130196976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 130196976 is about 11410.3889504258. The cubic root of 130196976 is about 506.8354293156.

The spelling of 130196976 in words is "one hundred thirty million, one hundred ninety-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 41 42 48 52 56 78 82 84 91 104 112 123 156 164 168 182 208 246 273 287 312 328 336 364 492 533 546 574 624 656 727 728 861 984 1066 1092 1148 1454 1456 1599 1722 1968 2132 2181 2184 2296 2908 3198 3444 3731 4264 4362 4368 4592 5089 5816 6396 6888 7462 8528 8724 9451 10178 11193 11632 12792 13776 14924 15267 17448 18902 20356 22386 25584 28353 29807 29848 30534 34896 37804 40712 44772 56706 59614 59696 61068 66157 75608 81424 89421 89544 113412 119228 122136 132314 151216 178842 179088 198471 208649 226824 238456 244272 264628 357684 387491 396942 417298 453648 476912 529256 625947 715368 774982 793884 834596 1058512 1162473 1251894 1430736 1549964 1587768 1669192 2324946 2503788 2712437 3099928 3175536 3338384 4649892 5007576 5424874 6199856 8137311 9299784 10015152 10849748 16274622 18599568 21699496 32549244 43398992 65098488 130196976