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130650624 = 293313727
BaseRepresentation
bin1111100100110…
…01001000000000
3100002211201222000
413302121020000
5231421304444
620544144000
73144340416
oct762311000
9302751860
10130650624
1167826825
1237908000
13210b5980
14134cd2b6
15b70b469
hex7c99200

130650624 has 160 divisors (see below), whose sum is σ = 417056640. Its totient is φ = 40144896.

The previous prime is 130650617. The next prime is 130650643. The reversal of 130650624 is 426056031.

130650624 is a `hidden beast` number, since 1 + 3 + 0 + 650 + 6 + 2 + 4 = 666.

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 15 ways as a sum of consecutive naturals, for example, 179349 + ... + 180075.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604).

Almost surely, 2130650624 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 130650624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208528320).

130650624 is an abundant number, since it is smaller than the sum of its proper divisors (286406016).

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

130650624 is an equidigital number, since it uses as much as digits as its factorization.

130650624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 130650624 is about 11430.2503909582. The cubic root of 130650624 is about 507.4234059789.

The spelling of 130650624 in words is "one hundred thirty million, six hundred fifty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 727 768 832 864 936 1152 1248 1404 1454 1536 1664 1728 1872 2181 2304 2496 2808 2908 3328 3456 3744 4362 4608 4992 5616 5816 6543 6656 6912 7488 8724 9451 9984 11232 11632 13086 13824 14976 17448 18902 19629 19968 22464 23264 26172 28353 29952 34896 37804 39258 44928 46528 52344 56706 59904 69792 75608 78516 85059 89856 93056 104688 113412 139584 151216 157032 170118 179712 186112 209376 226824 255177 279168 302432 314064 340236 372224 418752 453648 510354 558336 604864 628128 680472 837504 907296 1020708 1116672 1209728 1256256 1360944 1675008 1814592 2041416 2419456 2512512 2721888 3350016 3629184 4082832 4838912 5025024 5443776 7258368 8165664 10050048 10887552 14516736 16331328 21775104 32662656 43550208 65325312 130650624