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129707112 = 23353107953
BaseRepresentation
bin1111011101100…
…10110001101000
3100001001210201010
413232302301220
5231201111422
620512023520
73133330563
oct756626150
9301053633
10129707112
1167241967
1237531ba0
1320b45392
14133254da
15b5c1b0c
hex7bb2c68

129707112 has 64 divisors (see below), whose sum is σ = 333823680. Its totient is φ = 41979392.

The previous prime is 129707099. The next prime is 129707113. The reversal of 129707112 is 211707921.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 129707112.

It is not an unprimeable number, because it can be changed into a prime (129707113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135628 + ... + 136580.

It is an arithmetic number, because the mean of its divisors is an integer number (5215995).

Almost surely, 2129707112 is an apocalyptic number.

129707112 is a gapful number since it is divisible by the number (12) 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 129707112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166911840).

129707112 is an abundant number, since it is smaller than the sum of its proper divisors (204116568).

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

129707112 is a wasteful number, since it uses less digits than its factorization.

129707112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The square root of 129707112 is about 11388.9030200454. The cubic root of 129707112 is about 506.1989770861.

The spelling of 129707112 in words is "one hundred twenty-nine million, seven hundred seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 107 159 212 214 318 321 424 428 636 642 856 953 1272 1284 1906 2568 2859 3812 5671 5718 7624 11342 11436 17013 22684 22872 34026 45368 50509 68052 101018 101971 136104 151527 202036 203942 303054 305913 404072 407884 606108 611826 815768 1212216 1223652 2447304 5404463 10808926 16213389 21617852 32426778 43235704 64853556 129707112