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129040764 = 223234383131
BaseRepresentation
bin1111011000100…
…00000101111100
322222210221122120
413230100011330
5231013301024
620445442540
73124554066
oct754200574
9288727576
10129040764
1166927266
1237270450
1320970ca8
14131d0736
15b4de479
hex7b1017c

129040764 has 96 divisors (see below), whose sum is σ = 327849984. Its totient is φ = 39399360.

The previous prime is 129040757. The next prime is 129040777. The reversal of 129040764 is 467040921.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984979 + ... + 985109.

It is an arithmetic number, because the mean of its divisors is an integer number (3415104).

Almost surely, 2129040764 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 129040764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163924992).

129040764 is an abundant number, since it is smaller than the sum of its proper divisors (198809220).

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

129040764 is a wasteful number, since it uses less digits than its factorization.

129040764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 129040764 is about 11359.6110848919. The cubic root of 129040764 is about 505.3306516722.

The spelling of 129040764 in words is "one hundred twenty-nine million, forty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 43 46 69 83 86 92 129 131 138 166 172 249 258 262 276 332 393 498 516 524 786 989 996 1572 1909 1978 2967 3013 3569 3818 3956 5633 5727 5934 6026 7138 7636 9039 10707 10873 11266 11454 11868 12052 14276 16899 18078 21414 21746 22532 22908 32619 33798 36156 42828 43492 65238 67596 82087 129559 130476 164174 246261 250079 259118 328348 388677 467539 492522 500158 518236 750237 777354 935078 985044 1000316 1402617 1500474 1554708 1870156 2805234 3000948 5610468 10753397 21506794 32260191 43013588 64520382 129040764