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129412192 = 25713192339
BaseRepresentation
bin1111011011010…
…10110001100000
3100000111211011011
413231222301200
5231112142232
620501430304
73130662010
oct755526140
9300454134
10129412192
1167060328
123740b394
1320a71080
1413289c40
15b564547
hex7b6ac60

129412192 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 48480768.

The previous prime is 129412163. The next prime is 129412207. The reversal of 129412192 is 291214921.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54159 + ... + 56497.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2129412192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129412192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

129412192 is an abundant number, since it is smaller than the sum of its proper divisors (200808608).

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

129412192 is a wasteful number, since it uses less digits than its factorization.

129412192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2380 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 129412192 is about 11375.9479604998. The cubic root of 129412192 is about 505.8150313112.

The spelling of 129412192 in words is "one hundred twenty-nine million, four hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 182 208 224 247 266 304 364 416 494 532 608 728 988 1064 1456 1729 1976 2128 2339 2912 3458 3952 4256 4678 6916 7904 9356 13832 16373 18712 27664 30407 32746 37424 44441 55328 60814 65492 74848 88882 121628 130984 177764 212849 243256 261968 311087 355528 425698 486512 523936 577733 622174 711056 851396 973024 1155466 1244348 1422112 1702792 2310932 2488696 3405584 4044131 4621864 4977392 6811168 8088262 9243728 9954784 16176524 18487456 32353048 64706096 129412192