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129283168 = 2572412011
BaseRepresentation
bin1111011010010…
…11010001100000
3100000021021011111
413231023101200
5231044030133
620454553104
73126613600
oct755132140
9300237144
10129283168
1166a823a3
1237368794
1320a27421
1413254c00
15b53b1cd
hex7b4b460

129283168 has 72 divisors (see below), whose sum is σ = 303453864. Its totient is φ = 54028800.

The previous prime is 129283159. The next prime is 129283169. The reversal of 129283168 is 861382921.

It is a self number, because there is not a number n which added to its sum of digits gives 129283168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129283169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63283 + ... + 65293.

It is an arithmetic number, because the mean of its divisors is an integer number (4214637).

Almost surely, 2129283168 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 129283168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151726932).

129283168 is an abundant number, since it is smaller than the sum of its proper divisors (174170696).

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

129283168 is a wasteful number, since it uses less digits than its factorization.

129283168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2061 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 129283168 is about 11370.2756343019. The cubic root of 129283168 is about 505.6468761617.

It can be divided in two parts, 12928 and 3168, that multiplied together give a palindrome (40955904).

The spelling of 129283168 in words is "one hundred twenty-nine million, two hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 82 98 112 164 196 224 287 328 392 574 656 784 1148 1312 1568 2009 2011 2296 4018 4022 4592 8036 8044 9184 14077 16072 16088 28154 32144 32176 56308 64288 64352 82451 98539 112616 164902 197078 225232 329804 394156 450464 577157 659608 788312 1154314 1319216 1576624 2308628 2638432 3153248 4040099 4617256 8080198 9234512 16160396 18469024 32320792 64641584 129283168