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129359406 = 231122361127
BaseRepresentation
bin1111011010111…
…01111000101110
3100000102010202010
413231131320232
5231104000111
620500342050
73130352061
oct755357056
9300363663
10129359406
1167024700
12373a4926
1320a53037
14132748d8
15b553aa6
hex7b5de2e

129359406 has 96 divisors (see below), whose sum is σ = 303980544. Its totient is φ = 36590400.

The previous prime is 129359393. The next prime is 129359423. The reversal of 129359406 is 604953921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018515 + ... + 1018641.

It is an arithmetic number, because the mean of its divisors is an integer number (3166464).

Almost surely, 2129359406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129359406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151990272).

129359406 is an abundant number, since it is smaller than the sum of its proper divisors (174621138).

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

129359406 is a wasteful number, since it uses less digits than its factorization.

129359406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

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

The square root of 129359406 is about 11373.6276534798. The cubic root of 129359406 is about 505.7462495813.

The spelling of 129359406 in words is "one hundred twenty-nine million, three hundred fifty-nine thousand, four hundred six".

Divisors: 1 2 3 6 11 22 23 33 46 61 66 69 121 122 127 138 183 242 253 254 363 366 381 506 671 726 759 762 1342 1397 1403 1518 2013 2783 2794 2806 2921 4026 4191 4209 5566 5842 7381 7747 8349 8382 8418 8763 14762 15367 15433 15494 16698 17526 22143 23241 30734 30866 32131 44286 46101 46299 46482 64262 85217 92202 92598 96393 169763 170434 178181 192786 255651 339526 353441 356362 509289 511302 534543 706882 937387 1018578 1060323 1069086 1874774 1959991 2120646 2812161 3919982 5624322 5879973 11759946 21559901 43119802 64679703 129359406