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129729864 = 233117012
BaseRepresentation
bin1111011101110…
…00010101001000
3100001002221220210
413232320111020
5231202323424
620512321120
73133454115
oct756702510
9301087823
10129729864
1167257a70
12375431a0
1320b52844
141332d90c
15b5c8729
hex7bb8548

129729864 has 48 divisors (see below), whose sum is σ = 354314160. Its totient is φ = 39256000.

The previous prime is 129729857. The next prime is 129729869. The reversal of 129729864 is 468927921.

It is a super-2 number, since 2×1297298642 = 33659675226916992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129729869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184714 + ... + 185414.

It is an arithmetic number, because the mean of its divisors is an integer number (7381545).

Almost surely, 2129729864 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 129729864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177157080).

129729864 is an abundant number, since it is smaller than the sum of its proper divisors (224584296).

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

129729864 is an equidigital number, since it uses as much as digits as its factorization.

129729864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 717 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 129729864 is about 11389.9018432996. The cubic root of 129729864 is about 506.2285729081.

The spelling of 129729864 in words is "one hundred twenty-nine million, seven hundred twenty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 701 1402 2103 2804 4206 5608 7711 8412 15422 16824 23133 30844 46266 61688 92532 185064 491401 982802 1474203 1965604 2948406 3931208 5405411 5896812 10810822 11793624 16216233 21621644 32432466 43243288 64864932 129729864