Search a number
-
+
129257292 = 22329616089
BaseRepresentation
bin1111011010001…
…00111101001100
3100000012221200010
413231010331030
5231042213132
620454233220
73126445263
oct755047514
9300187603
10129257292
1166a64a0a
1237355810
1320a18708
14132495da
15b5336cc
hex7b44f4c

129257292 has 48 divisors (see below), whose sum is σ = 317167200. Its totient is φ = 40911360.

The previous prime is 129257287. The next prime is 129257299. The reversal of 129257292 is 292752921.

It is a self number, because there is not a number n which added to its sum of digits gives 129257292.

It is not an unprimeable number, because it can be changed into a prime (129257299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18184 + ... + 24272.

It is an arithmetic number, because the mean of its divisors is an integer number (6607650).

Almost surely, 2129257292 is an apocalyptic number.

129257292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129257292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158583600).

129257292 is an abundant number, since it is smaller than the sum of its proper divisors (187909908).

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

129257292 is a wasteful number, since it uses less digits than its factorization.

129257292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186 (or 6184 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 129257292 is about 11369.1376981722. The cubic root of 129257292 is about 505.6131388707.

The spelling of 129257292 in words is "one hundred twenty-nine million, two hundred fifty-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 732 1769 3538 5307 6089 7076 10614 12178 18267 21228 24356 36534 73068 176581 353162 371429 529743 706324 742858 1059486 1114287 1485716 2118972 2228574 4457148 10771441 21542882 32314323 43085764 64628646 129257292