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129936744 = 23337194523
BaseRepresentation
bin1111011111010…
…10110101101000
3100001111110201000
413233222311220
5231230433434
620520555000
73135305220
oct757526550
9301443630
10129936744
1167389443
1237622a60
1320bc5a62
1413385080
15b619b99
hex7bead68

129936744 has 128 divisors (see below), whose sum is σ = 434304000. Its totient is φ = 35163072.

The previous prime is 129936731. The next prime is 129936787. The reversal of 129936744 is 447639921.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 129936744.

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, 26467 + ... + 30989.

It is an arithmetic number, because the mean of its divisors is an integer number (3393000).

Almost surely, 2129936744 is an apocalyptic number.

129936744 is a gapful number since it is divisible by the number (14) 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 129936744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217152000).

129936744 is an abundant number, since it is smaller than the sum of its proper divisors (304367256).

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

129936744 is a wasteful number, since it uses less digits than its factorization.

129936744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 4554 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 129936744 is about 11398.9799543643. The cubic root of 129936744 is about 506.4975239500.

The spelling of 129936744 in words is "one hundred twenty-nine million, nine hundred thirty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4523 4788 7182 9046 9576 13569 14364 18092 27138 28728 31661 36184 40707 54276 63322 81414 85937 94983 108552 122121 126644 162828 171874 189966 244242 253288 257811 284949 325656 343748 379932 488484 515622 569898 601559 687496 759864 773433 854847 976968 1031244 1139796 1203118 1546866 1709694 1804677 2062488 2279592 2320299 2406236 3093732 3419388 3609354 4640598 4812472 5414031 6187464 6838776 7218708 9281196 10828062 14437416 16242093 18562392 21656124 32484186 43312248 64968372 129936744