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129927960 = 233251073373
BaseRepresentation
bin1111011111010…
…00101100011000
3100001111000122200
413233220230120
5231230143320
620520450200
73135240501
oct757505430
9301430580
10129927960
1167382888
1237619960
1320bc1a66
1413381ba8
15b617290
hex7be8b18

129927960 has 96 divisors (see below), whose sum is σ = 426338640. Its totient is φ = 34313472.

The previous prime is 129927949. The next prime is 129927961. The reversal of 129927960 is 69729921.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129927961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36834 + ... + 40206.

Almost surely, 2129927960 is an apocalyptic number.

129927960 is a gapful number since it is divisible by the number (10) 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 129927960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213169320).

129927960 is an abundant number, since it is smaller than the sum of its proper divisors (296410680).

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

129927960 is a wasteful number, since it uses less digits than its factorization.

129927960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 129927960 is about 11398.5946502189. The cubic root of 129927960 is about 506.4861102565.

The spelling of 129927960 in words is "one hundred twenty-nine million, nine hundred twenty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 856 963 1070 1284 1605 1926 2140 2568 3210 3373 3852 4280 4815 6420 6746 7704 9630 10119 12840 13492 16865 19260 20238 26984 30357 33730 38520 40476 50595 60714 67460 80952 101190 121428 134920 151785 202380 242856 303570 360911 404760 607140 721822 1082733 1214280 1443644 1804555 2165466 2887288 3248199 3609110 4330932 5413665 6496398 7218220 8661864 10827330 12992796 14436440 16240995 21654660 25985592 32481990 43309320 64963980 129927960