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129428874 = 233191011249
BaseRepresentation
bin1111011011011…
…10110110001010
3100000112200001000
413231232312022
5231113210444
620502035430
73131061441
oct755566612
9300480030
10129428874
1167071913
1237418b76
1320a78843
1413291d58
15b569469
hex7b6ed8a

129428874 has 64 divisors (see below), whose sum is σ = 306000000. Its totient is φ = 40435200.

The previous prime is 129428863. The next prime is 129428899. The reversal of 129428874 is 478824921.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 103002 + ... + 104250.

It is an arithmetic number, because the mean of its divisors is an integer number (4781250).

Almost surely, 2129428874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129428874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153000000).

129428874 is an abundant number, since it is smaller than the sum of its proper divisors (176571126).

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

129428874 is a wasteful number, since it uses less digits than its factorization.

129428874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1374 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 129428874 is about 11376.6811504938. The cubic root of 129428874 is about 505.8367645644.

The spelling of 129428874 in words is "one hundred twenty-nine million, four hundred twenty-eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 101 114 171 202 303 342 513 606 909 1026 1249 1818 1919 2498 2727 3747 3838 5454 5757 7494 11241 11514 17271 22482 23731 33723 34542 47462 51813 67446 71193 103626 126149 142386 213579 252298 378447 427158 640737 756894 1135341 1281474 2270682 2396831 3406023 4793662 6812046 7190493 14380986 21571479 43142958 64714437 129428874