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129941728 = 2572791049
BaseRepresentation
bin1111011111011…
…00000011100000
3100001111201112121
413233230003200
5231231113403
620521034024
73135325600
oct757540340
9301451477
10129941728
1167392164
1237625914
1320bc80c7
1413386c00
15b61b3bd
hex7bec0e0

129941728 has 72 divisors (see below), whose sum is σ = 301644000. Its totient is φ = 54931968.

The previous prime is 129941723. The next prime is 129941737. The reversal of 129941728 is 827149921.

It is a happy number.

Its product of digits (72576) is a multiple of the sum of its prime factors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129941723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123348 + ... + 124396.

It is an arithmetic number, because the mean of its divisors is an integer number (4189500).

Almost surely, 2129941728 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 129941728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822000).

129941728 is an abundant number, since it is smaller than the sum of its proper divisors (171702272).

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

129941728 is a wasteful number, since it uses less digits than its factorization.

129941728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1137 counting only the distinct ones).

The product of its digits is 72576, while the sum is 43.

The square root of 129941728 is about 11399.1985683205. The cubic root of 129941728 is about 506.5039997969.

The spelling of 129941728 in words is "one hundred twenty-nine million, nine hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 79 98 112 158 196 224 316 392 553 632 784 1049 1106 1264 1568 2098 2212 2528 3871 4196 4424 7343 7742 8392 8848 14686 15484 16784 17696 29372 30968 33568 51401 58744 61936 82871 102802 117488 123872 165742 205604 234976 331484 411208 580097 662968 822416 1160194 1325936 1644832 2320388 2651872 4060679 4640776 8121358 9281552 16242716 18563104 32485432 64970864 129941728