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130150944 = 25327115869
BaseRepresentation
bin1111100000111…
…11001000100000
3100001220100112100
413300133020200
5231304312234
620525330400
73140156550
oct760371040
9301810470
10130150944
1167515370
1237706a00
1320c6c3c1
14133dd160
15b65d399
hex7c1f220

130150944 has 144 divisors (see below), whose sum is σ = 461522880. Its totient is φ = 33799680.

The previous prime is 130150921. The next prime is 130150957. The reversal of 130150944 is 449051031.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1301509442 = 33878536448182272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19242 + ... + 25110.

It is an arithmetic number, because the mean of its divisors is an integer number (3205020).

Almost surely, 2130150944 is an apocalyptic number.

130150944 is a gapful number since it is divisible by the number (14) 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 130150944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230761440).

130150944 is an abundant number, since it is smaller than the sum of its proper divisors (331371936).

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

130150944 is a wasteful number, since it uses less digits than its factorization.

130150944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 130150944 is about 11408.3716629500. The cubic root of 130150944 is about 506.7756906045.

The spelling of 130150944 in words is "one hundred thirty million, one hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 5869 7392 11088 11738 17607 22176 23476 35214 41083 46952 52821 64559 70428 82166 93904 105642 123249 129118 140856 164332 187808 193677 211284 246498 258236 281712 328664 369747 387354 422568 451913 492996 516472 563424 581031 657328 739494 774708 845136 903826 985992 1032944 1162062 1314656 1355739 1478988 1549416 1690272 1807652 1971984 2065888 2324124 2711478 2957976 3098832 3615304 3943968 4067217 4648248 5422956 5915952 6197664 7230608 8134434 9296496 10845912 11831904 14461216 16268868 18592992 21691824 32537736 43383648 65075472 130150944