Search a number
-
+
129905610 = 23523593191
BaseRepresentation
bin1111011111000…
…11001111001010
3100001102212222220
413233203033022
5231223434420
620520154510
73135115362
oct757431712
9301385886
10129905610
116736800a
1237608a36
1320bb4833
14133779a2
15b610840
hex7be33ca

129905610 has 64 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 32563520.

The previous prime is 129905609. The next prime is 129905627. The reversal of 129905610 is 16509921.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39115 + ... + 42305.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2129905610 is an apocalyptic number.

129905610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129905610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

129905610 is an abundant number, since it is smaller than the sum of its proper divisors (201040950).

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

129905610 is a wasteful number, since it uses less digits than its factorization.

129905610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283.

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 129905610 is about 11397.6142240383. The cubic root of 129905610 is about 506.4570669474.

The spelling of 129905610 in words is "one hundred twenty-nine million, nine hundred five thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 69 115 118 138 177 230 295 345 354 590 690 885 1357 1770 2714 3191 4071 6382 6785 8142 9573 13570 15955 19146 20355 31910 40710 47865 73393 95730 146786 188269 220179 366965 376538 440358 564807 733930 941345 1100895 1129614 1882690 2201790 2824035 4330187 5648070 8660374 12990561 21650935 25981122 43301870 64952805 129905610