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129755934 = 232711175507
BaseRepresentation
bin1111011101111…
…10101100011110
3100001011021200100
413232332230132
5231204142214
620513041530
73133623120
oct756765436
9301137610
10129755934
1167275610
12375562a6
1320b61679
1413339210
15b5d1309
hex7bbeb1e

129755934 has 96 divisors (see below), whose sum is σ = 371195136. Its totient is φ = 31714560.

The previous prime is 129755933. The next prime is 129755957. The reversal of 129755934 is 439557921.

It is a happy number.

129755934 is a `hidden beast` number, since 1 + 2 + 97 + 559 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 129755934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129755933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20809 + ... + 26315.

It is an arithmetic number, because the mean of its divisors is an integer number (3866616).

Almost surely, 2129755934 is an apocalyptic number.

129755934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129755934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185597568).

129755934 is an abundant number, since it is smaller than the sum of its proper divisors (241439202).

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

129755934 is a wasteful number, since it uses less digits than its factorization.

129755934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5547 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 129755934 is about 11391.0462206068. The cubic root of 129755934 is about 506.2624805337.

The spelling of 129755934 in words is "one hundred twenty-nine million, seven hundred fifty-five thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 561 693 714 1071 1122 1309 1386 1683 2142 2618 3366 3927 5507 7854 11014 11781 16521 23562 33042 38549 49563 60577 77098 93619 99126 115647 121154 181731 187238 231294 280857 346941 363462 424039 545193 561714 655333 693882 842571 848078 1029809 1090386 1272117 1310666 1685142 1965999 2059618 2544234 3089427 3816351 3931998 5897997 6178854 7208663 7632702 9268281 11795994 14417326 18536562 21625989 43251978 64877967 129755934