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129349056 = 26317231723
BaseRepresentation
bin1111011010110…
…11010111000000
3100000101121112210
413231123113000
5231103132211
620500222120
73130306644
oct755332700
9300347483
10129349056
1167017951
123739a940
1320a4b405
1413270c24
15b5509a6
hex7b5b5c0

129349056 has 112 divisors (see below), whose sum is σ = 378342144. Its totient is φ = 38793216.

The previous prime is 129349027. The next prime is 129349057. The reversal of 129349056 is 650943921.

It is a super-2 number, since 2×1293490562 = 33462356576182272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129349057) 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, 74211 + ... + 75933.

Almost surely, 2129349056 is an apocalyptic number.

129349056 is a gapful number since it is divisible by the number (16) 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 129349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189171072).

129349056 is an abundant number, since it is smaller than the sum of its proper divisors (248993088).

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

129349056 is a wasteful number, since it uses less digits than its factorization.

129349056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 129349056 is about 11373.1726444295. The cubic root of 129349056 is about 505.7327610292.

The spelling of 129349056 in words is "one hundred twenty-nine million, three hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 136 138 184 192 204 272 276 368 391 408 544 552 736 782 816 1088 1104 1173 1472 1564 1632 1723 2208 2346 3128 3264 3446 4416 4692 5169 6256 6892 9384 10338 12512 13784 18768 20676 25024 27568 29291 37536 39629 41352 55136 58582 75072 79258 82704 87873 110272 117164 118887 158516 165408 175746 234328 237774 317032 330816 351492 468656 475548 634064 673693 702984 937312 951096 1268128 1347386 1405968 1874624 1902192 2021079 2536256 2694772 2811936 3804384 4042158 5389544 5623872 7608768 8084316 10779088 16168632 21558176 32337264 43116352 64674528 129349056