Search a number
-
+
130715856 = 2434172349
BaseRepresentation
bin1111100101010…
…01000011010000
3100002222001110000
413302221003100
5231430401411
620545410000
73145031535
oct762510320
9302861400
10130715856
1167870837
1237939900
132110957b
1413508d8c
15b720956
hex7ca90d0

130715856 has 150 divisors (see below), whose sum is σ = 403044950. Its totient is φ = 40891392.

The previous prime is 130715843. The next prime is 130715867. The reversal of 130715856 is 658517031.

130715856 is a `hidden beast` number, since 1 + 3 + 0 + 71 + 585 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 68558400 + 62157456 = 8280^2 + 7884^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130715856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 374370 + ... + 374718.

Almost surely, 2130715856 is an apocalyptic number.

130715856 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 130715856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201522475).

130715856 is an abundant number, since it is smaller than the sum of its proper divisors (272329094).

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

130715856 is a wasteful number, since it uses less digits than its factorization.

130715856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 130715856 is about 11433.1035156689. The cubic root of 130715856 is about 507.5078416933.

The spelling of 130715856 in words is "one hundred thirty million, seven hundred fifteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 289 306 324 349 408 432 459 578 612 648 698 816 867 918 1047 1156 1224 1296 1377 1396 1734 1836 2094 2312 2448 2601 2754 2792 3141 3468 3672 4188 4624 5202 5508 5584 5933 6282 6936 7344 7803 8376 9423 10404 11016 11866 12564 13872 15606 16752 17799 18846 20808 22032 23409 23732 25128 28269 31212 35598 37692 41616 46818 47464 50256 53397 56538 62424 71196 75384 93636 94928 100861 106794 113076 124848 142392 150768 160191 187272 201722 213588 226152 284784 302583 320382 374544 403444 427176 452304 480573 605166 640764 806888 854352 907749 961146 1210332 1281528 1613776 1815498 1922292 2420664 2563056 2723247 3630996 3844584 4841328 5446494 7261992 7689168 8169741 10892988 14523984 16339482 21785976 32678964 43571952 65357928 130715856