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129056328 = 233622129
BaseRepresentation
bin1111011000100…
…11111001001000
322222211202000000
413230103321020
5231014300303
620450043000
73124650342
oct754237110
9288752000
10129056328
1166937a25
1237279460
13209780bb
14131d6292
15b4e3da3
hex7b13e48

129056328 has 56 divisors (see below), whose sum is σ = 362821350. Its totient is φ = 43016832.

The previous prime is 129056321. The next prime is 129056339. The reversal of 129056328 is 823650921.

129056328 is a `hidden beast` number, since 1 + 2 + 90 + 563 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77475204 + 51581124 = 8802^2 + 7182^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129056292 and 129056301.

It is not an unprimeable number, because it can be changed into a prime (129056321) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5233 + ... + 16896.

Almost surely, 2129056328 is an apocalyptic number.

129056328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

129056328 is an abundant number, since it is smaller than the sum of its proper divisors (233765022).

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

129056328 is an equidigital number, since it uses as much as digits as its factorization.

129056328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22153 (or 22134 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 129056328 is about 11360.2961229010. The cubic root of 129056328 is about 505.3509673457.

The spelling of 129056328 in words is "one hundred twenty-nine million, fifty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 22129 44258 66387 88516 132774 177032 199161 265548 398322 531096 597483 796644 1194966 1593288 1792449 2389932 3584898 4779864 5377347 7169796 10754694 14339592 16132041 21509388 32264082 43018776 64528164 129056328