Search a number
-
+
129295374 = 23132397743
BaseRepresentation
bin1111011010011…
…10010000001110
3100000021212220120
413231032100032
5231044422444
620455125410
73126664305
oct755162016
9300255816
10129295374
1166a9058a
1237373866
1320a2cb50
141325943c
15b53eb19
hex7b4e40e

129295374 has 64 divisors (see below), whose sum is σ = 293981184. Its totient is φ = 37610496.

The previous prime is 129295363. The next prime is 129295379. The reversal of 129295374 is 473592921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129295379) 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, 173647 + ... + 174389.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456).

Almost surely, 2129295374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129295374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146990592).

129295374 is an abundant number, since it is smaller than the sum of its proper divisors (164685810).

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

129295374 is a wasteful number, since it uses less digits than its factorization.

129295374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881.

The product of its digits is 136080, while the sum is 42.

The square root of 129295374 is about 11370.8123720339. The cubic root of 129295374 is about 505.6627888585.

The spelling of 129295374 in words is "one hundred twenty-nine million, two hundred ninety-five thousand, three hundred seventy-four".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 97 138 194 291 299 582 598 743 897 1261 1486 1794 2229 2231 2522 3783 4458 4462 6693 7566 9659 13386 17089 19318 28977 29003 34178 51267 57954 58006 72071 87009 102534 144142 174018 216213 222157 432426 444314 666471 936923 1332942 1657633 1873846 2810769 3315266 4972899 5621538 9945798 21549229 43098458 64647687 129295374