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129857868 = 223271035003
BaseRepresentation
bin1111011110101…
…11100101001100
3100001100110111200
413233113211030
5231220422433
620515145500
73134526240
oct757274514
9301313450
10129857868
1167335158
12375a5290
1320b98b9a
1413364420
15b601613
hex7bd794c

129857868 has 72 divisors (see below), whose sum is σ = 378862848. Its totient is φ = 36734688.

The previous prime is 129857857. The next prime is 129857873. The reversal of 129857868 is 868758921.

129857868 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 578 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23455 + ... + 28457.

It is an arithmetic number, because the mean of its divisors is an integer number (5261984).

Almost surely, 2129857868 is an apocalyptic number.

129857868 is a gapful number since it is divisible by the number (18) 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 129857868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189431424).

129857868 is an abundant number, since it is smaller than the sum of its proper divisors (249004980).

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

129857868 is a wasteful number, since it uses less digits than its factorization.

129857868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5118 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 129857868 is about 11395.5196458959. The cubic root of 129857868 is about 506.3950161605.

The spelling of 129857868 in words is "one hundred twenty-nine million, eight hundred fifty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 412 618 721 927 1236 1442 1854 2163 2884 3708 4326 5003 6489 8652 10006 12978 15009 20012 25956 30018 35021 45027 60036 70042 90054 105063 140084 180108 210126 315189 420252 515309 630378 1030618 1260756 1545927 2061236 3091854 3607163 4637781 6183708 7214326 9275562 10821489 14428652 18551124 21642978 32464467 43285956 64928934 129857868