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129319146 = 23311436183
BaseRepresentation
bin1111011010101…
…00000011101010
3100000100002112000
413231110003222
5231101203041
620455431430
73130123515
oct755240352
9300302460
10129319146
1166aa7430
1237385576
1320a3a908
1413263d7c
15b546bb6
hex7b540ea

129319146 has 128 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 37195200.

The previous prime is 129319117. The next prime is 129319163. The reversal of 129319146 is 641913921.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 129319146.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1558021 + ... + 1558103.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2129319146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129319146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

129319146 is an abundant number, since it is smaller than the sum of its proper divisors (200659734).

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

129319146 is a wasteful number, since it uses less digits than its factorization.

129319146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 129319146 is about 11371.8576318911. The cubic root of 129319146 is about 505.6937770236.

The spelling of 129319146 in words is "one hundred twenty-nine million, three hundred nineteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 61 66 83 86 99 122 129 166 183 198 249 258 297 366 387 473 498 549 594 671 747 774 913 946 1098 1161 1342 1419 1494 1647 1826 2013 2241 2322 2623 2739 2838 3294 3569 4026 4257 4482 5063 5246 5478 6039 7138 7869 8217 8514 10126 10707 12078 12771 15189 15738 16434 18117 21414 23607 24651 25542 28853 30378 32121 36234 39259 45567 47214 49302 55693 57706 64242 70821 78518 86559 91134 96363 111386 117777 136701 141642 167079 173118 192726 217709 235554 259677 273402 334158 353331 435418 501237 519354 653127 706662 779031 1002474 1059993 1306254 1503711 1558062 1959381 2119986 2394799 3007422 3918762 4789598 5878143 7184397 11756286 14368794 21553191 43106382 64659573 129319146