Search a number
-
+
129082824 = 233213137909
BaseRepresentation
bin1111011000110…
…10010111001000
322222220002100100
413230122113020
5231021122244
620450405400
73125120523
oct754322710
9288802310
10129082824
1166955922
1237290860
1320987190
1413201bba
15b4ebb69
hex7b1a5c8

129082824 has 48 divisors (see below), whose sum is σ = 376494300. Its totient is φ = 39717504.

The previous prime is 129082823. The next prime is 129082867. The reversal of 129082824 is 428280921.

It can be written as a sum of positive squares in 2 ways, for example, as 115992900 + 13089924 = 10770^2 + 3618^2 .

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

It is not an unprimeable number, because it can be changed into a prime (129082823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68019 + ... + 69890.

Almost surely, 2129082824 is an apocalyptic number.

It is an amenable number.

129082824 is an abundant number, since it is smaller than the sum of its proper divisors (247411476).

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

129082824 is a wasteful number, since it uses less digits than its factorization.

129082824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137934 (or 137927 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 129082824 is about 11361.4622298364. The cubic root of 129082824 is about 505.3855487909.

The spelling of 129082824 in words is "one hundred twenty-nine million, eighty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 137909 275818 413727 551636 827454 1103272 1241181 1654908 1792817 2482362 3309816 3585634 4964724 5378451 7171268 9929448 10756902 14342536 16135353 21513804 32270706 43027608 64541412 129082824