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129071292 = 22372227967
BaseRepresentation
bin1111011000101…
…11100010111100
322222212111112020
413230113202330
5231020240132
620450240140
73125042100
oct754274274
9288774466
10129071292
1166948199
1237286050
1320981b5c
14131db900
15b4e852c
hex7b178bc

129071292 has 72 divisors (see below), whose sum is σ = 352243584. Its totient is φ = 36677088.

The previous prime is 129071269. The next prime is 129071329. The reversal of 129071292 is 292170921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132993 + ... + 133959.

It is an arithmetic number, because the mean of its divisors is an integer number (4892272).

Almost surely, 2129071292 is an apocalyptic number.

129071292 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 129071292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176121792).

129071292 is an abundant number, since it is smaller than the sum of its proper divisors (223172292).

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

129071292 is a wasteful number, since it uses less digits than its factorization.

129071292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 129071292 is about 11360.9547134033. The cubic root of 129071292 is about 505.3704982997.

The spelling of 129071292 in words is "one hundred twenty-nine million, seventy-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 227 294 454 588 681 908 967 1362 1589 1934 2724 2901 3178 3868 4767 5802 6356 6769 9534 11123 11604 13538 19068 20307 22246 27076 33369 40614 44492 47383 66738 81228 94766 133476 142149 189532 219509 284298 439018 568596 658527 878036 1317054 1536563 2634108 3073126 4609689 6146252 9219378 10755941 18438756 21511882 32267823 43023764 64535646 129071292