Search a number
-
+
129056928 = 253711131779
BaseRepresentation
bin1111011000101…
…00000010100000
322222211202211020
413230110002200
5231014310203
620450045440
73124652160
oct754240240
9288752736
10129056928
1166938420
1237279880
1320978460
14131d65a0
15b4e4153
hex7b140a0

129056928 has 384 divisors, whose sum is σ = 487710720. Its totient is φ = 28753920.

The previous prime is 129056927. The next prime is 129056929. The reversal of 129056928 is 829650921.

It is an interprime number because it is at equal distance from previous prime (129056927) and next prime (129056929).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 129056928.

It is not an unprimeable number, because it can be changed into a prime (129056923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1633593 + ... + 1633671.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2129056928 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 129056928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

129056928 is an abundant number, since it is smaller than the sum of its proper divisors (358653792).

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

129056928 is a wasteful number, since it uses less digits than its factorization.

129056928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 129056928 is about 11360.3225306327. The cubic root of 129056928 is about 505.3517504924.

The spelling of 129056928 in words is "one hundred twenty-nine million, fifty-six thousand, nine hundred twenty-eight".