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129040512 = 273714733
BaseRepresentation
bin1111011000100…
…00000010000000
322222210221022020
413230100002000
5231013244022
620445441440
73124553256
oct754200200
9288727266
10129040512
1166927057
1237270280
1320970b43
14131d05d6
15b4de35c
hex7b10080

129040512 has 64 divisors (see below), whose sum is σ = 347664960. Its totient is φ = 42398720.

The previous prime is 129040453. The next prime is 129040519. The reversal of 129040512 is 215040921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (129040519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24898 + ... + 29630.

It is an arithmetic number, because the mean of its divisors is an integer number (5432265).

Almost surely, 2129040512 is an apocalyptic number.

129040512 is a gapful number since it is divisible by the number (12) 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 129040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173832480).

129040512 is an abundant number, since it is smaller than the sum of its proper divisors (218624448).

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

129040512 is an equidigital number, since it uses as much as digits as its factorization.

129040512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 129040512 is about 11359.5999929575. The cubic root of 129040512 is about 505.3303227234.

The spelling of 129040512 in words is "one hundred twenty-nine million, forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 4733 6816 9088 9466 13632 14199 18932 27264 28398 37864 56796 75728 113592 151456 227184 302912 336043 454368 605824 672086 908736 1008129 1344172 1817472 2016258 2688344 4032516 5376688 8065032 10753376 16130064 21506752 32260128 43013504 64520256 129040512