Search a number
-
+
129939414 = 231131411549
BaseRepresentation
bin1111011111010…
…11011111010110
3100001111121100220
413233223133112
5231231030124
620521015210
73135316053
oct757533726
9301447326
10129939414
1167390450
1237624506
1320bc7037
141338602a
15b61a879
hex7beb7d6

129939414 has 64 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 37152000.

The previous prime is 129939413. The next prime is 129939419. The reversal of 129939414 is 414939921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129939413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83112 + ... + 84660.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2129939414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129939414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

129939414 is an abundant number, since it is smaller than the sum of its proper divisors (170041386).

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

129939414 is a wasteful number, since it uses less digits than its factorization.

129939414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637.

The product of its digits is 69984, while the sum is 42.

The square root of 129939414 is about 11399.0970695051. The cubic root of 129939414 is about 506.5009931743.

The spelling of 129939414 in words is "one hundred twenty-nine million, nine hundred thirty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 31 33 41 62 66 82 93 123 186 246 341 451 682 902 1023 1271 1353 1549 2046 2542 2706 3098 3813 4647 7626 9294 13981 17039 27962 34078 41943 48019 51117 63509 83886 96038 102234 127018 144057 190527 288114 381054 528209 698599 1056418 1397198 1584627 1968779 2095797 3169254 3937558 4191594 5906337 11812674 21656569 43313138 64969707 129939414