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129645036 = 22341093671
BaseRepresentation
bin1111011101000…
…11100111101100
3100000221122120000
413232203213230
5231142120121
620510424300
73132651603
oct756434754
9300848500
10129645036
11671aa264
1237502090
1320b23051
141330aa3a
15b5ad526
hex7ba39ec

129645036 has 60 divisors (see below), whose sum is σ = 342120240. Its totient is φ = 42806880.

The previous prime is 129645031. The next prime is 129645053. The reversal of 129645036 is 630546921.

It is a happy number.

129645036 is a `hidden beast` number, since 1 + 2 + 9 + 645 + 0 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129645031) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 33481 + ... + 37151.

It is an arithmetic number, because the mean of its divisors is an integer number (5702004).

Almost surely, 2129645036 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 129645036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171060120).

129645036 is an abundant number, since it is smaller than the sum of its proper divisors (212475204).

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

129645036 is a wasteful number, since it uses less digits than its factorization.

129645036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 129645036 is about 11386.1774094733. The cubic root of 129645036 is about 506.1182109626.

The spelling of 129645036 in words is "one hundred twenty-nine million, six hundred forty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1962 2943 3671 3924 5886 7342 8829 11013 11772 14684 17658 22026 33039 35316 44052 66078 99117 132156 198234 297351 396468 400139 594702 800278 1189404 1200417 1600556 2400834 3601251 4801668 7202502 10803753 14405004 21607506 32411259 43215012 64822518 129645036