Search a number
-
+
129707568 = 243573457
BaseRepresentation
bin1111011101100…
…10111000110000
3100001001211100000
413232302320300
5231201120233
620512030000
73133332114
oct756627060
9301054300
10129707568
1167242241
1237532300
1320b45653
1413325744
15b5c1d13
hex7bb2e30

129707568 has 120 divisors (see below), whose sum is σ = 382437328. Its totient is φ = 42550272.

The previous prime is 129707561. The next prime is 129707581. The reversal of 129707568 is 865707921.

129707568 is a `hidden beast` number, since 12 + 9 + 70 + 7 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (129707561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283596 + ... + 284052.

Almost surely, 2129707568 is an apocalyptic number.

129707568 is a gapful number since it is divisible by the number (18) 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 129707568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191218664).

129707568 is an abundant number, since it is smaller than the sum of its proper divisors (252729760).

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

129707568 is an equidigital number, since it uses as much as digits as its factorization.

129707568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 129707568 is about 11388.9230395152. The cubic root of 129707568 is about 506.1995702853.

The spelling of 129707568 in words is "one hundred twenty-nine million, seven hundred seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 81 108 144 146 162 216 219 243 292 324 432 438 457 486 584 648 657 876 914 972 1168 1296 1314 1371 1752 1828 1944 1971 2628 2742 3504 3656 3888 3942 4113 5256 5484 5913 7312 7884 8226 10512 10968 11826 12339 15768 16452 17739 21936 23652 24678 31536 32904 33361 35478 37017 47304 49356 65808 66722 70956 74034 94608 98712 100083 111051 133444 141912 148068 197424 200166 222102 266888 283824 296136 300249 400332 444204 533776 592272 600498 800664 888408 900747 1200996 1601328 1776816 1801494 2401992 2702241 3602988 4803984 5404482 7205976 8106723 10808964 14411952 16213446 21617928 32426892 43235856 64853784 129707568