Search a number
-
+
129204768 = 25372112227
BaseRepresentation
bin1111011001110…
…00001000100000
3100000010021121210
413230320020200
5231034023033
620453150120
73126136200
oct754701040
9300107553
10129204768
1166a29500
123732b340
13209ca834
1413234400
15b522d63
hex7b38220

129204768 has 216 divisors, whose sum is σ = 435573936. Its totient is φ = 33411840.

The previous prime is 129204701. The next prime is 129204787. The reversal of 129204768 is 867402921.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 569071 + ... + 569297.

It is an arithmetic number, because the mean of its divisors is an integer number (2016546).

Almost surely, 2129204768 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 129204768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217786968).

129204768 is an abundant number, since it is smaller than the sum of its proper divisors (306369168).

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

129204768 is a wasteful number, since it uses less digits than its factorization.

129204768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 129204768 is about 11366.8275257435. The cubic root of 129204768 is about 505.5446439021.

The spelling of 129204768 in words is "one hundred twenty-nine million, two hundred four thousand, seven hundred sixty-eight".