Search a number
-
+
129407424 = 263897573
BaseRepresentation
bin1111011011010…
…01100111000000
3100000111120121120
413231221213000
5231112014144
620501352240
73130642056
oct755514700
9300446546
10129407424
1167057793
1237408680
1320a6bb53
14132881d6
15b562e19
hex7b699c0

129407424 has 56 divisors (see below), whose sum is σ = 346283280. Its totient is φ = 42645504.

The previous prime is 129407393. The next prime is 129407431. The reversal of 129407424 is 424704921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13302 + ... + 20874.

It is an arithmetic number, because the mean of its divisors is an integer number (6183630).

Almost surely, 2129407424 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 129407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173141640).

129407424 is an abundant number, since it is smaller than the sum of its proper divisors (216875856).

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

129407424 is an equidigital number, since it uses as much as digits as its factorization.

129407424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7677 (or 7667 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 129407424 is about 11375.7383936165. The cubic root of 129407424 is about 505.8088192337.

The spelling of 129407424 in words is "one hundred twenty-nine million, four hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 712 1068 1424 2136 2848 4272 5696 7573 8544 15146 17088 22719 30292 45438 60584 90876 121168 181752 242336 363504 484672 673997 727008 1347994 1454016 2021991 2695988 4043982 5391976 8087964 10783952 16175928 21567904 32351856 43135808 64703712 129407424