Search a number
-
+
129830316 = 223711711979
BaseRepresentation
bin1111011110100…
…00110110101100
3100001022001201020
413233100312230
5231214032231
620514414140
73134353020
oct757206654
9301261636
10129830316
1167316490
1237591350
1320b89495
1413358380
15b5e8396
hex7bd0dac

129830316 has 96 divisors (see below), whose sum is σ = 383201280. Its totient is φ = 33230400.

The previous prime is 129830291. The next prime is 129830317. The reversal of 129830316 is 613038921.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (129830317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64615 + ... + 66593.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2129830316 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 129830316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

129830316 is an abundant number, since it is smaller than the sum of its proper divisors (253370964).

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

129830316 is a wasteful number, since it uses less digits than its factorization.

129830316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 129830316 is about 11394.3106856010. The cubic root of 129830316 is about 506.3591996108.

The spelling of 129830316 in words is "one hundred twenty-nine million, eight hundred thirty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 71 77 84 132 142 154 213 231 284 308 426 462 497 781 852 924 994 1491 1562 1979 1988 2343 2982 3124 3958 4686 5467 5937 5964 7916 9372 10934 11874 13853 16401 21769 21868 23748 27706 32802 41559 43538 55412 65307 65604 83118 87076 130614 140509 152383 166236 261228 281018 304766 421527 457149 562036 609532 843054 914298 983563 1545599 1686108 1828596 1967126 2950689 3091198 3934252 4636797 5901378 6182396 9273594 10819193 11802756 18547188 21638386 32457579 43276772 64915158 129830316