Search a number
-
+
129012296 = 2372397829
BaseRepresentation
bin1111011000010…
…01001001001000
322222202111121012
413230021021020
5231011343141
620445103052
73124405100
oct754111110
9288674535
10129012296
1166907936
1237257a88
132096104a
14131c4200
15b4d5ceb
hex7b09248

129012296 has 48 divisors (see below), whose sum is σ = 282440700. Its totient is φ = 55085184.

The previous prime is 129012277. The next prime is 129012307. The reversal of 129012296 is 692210921.

It can be written as a sum of positive squares in 2 ways, for example, as 127012900 + 1999396 = 11270^2 + 1414^2 .

It is a super-3 number, since 3×1290122963 (a number of 25 digits) contains 333 as substring.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155210 + ... + 156038.

Almost surely, 2129012296 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 129012296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141220350).

129012296 is an abundant number, since it is smaller than the sum of its proper divisors (153428404).

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

129012296 is a wasteful number, since it uses less digits than its factorization.

129012296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 129012296 is about 11358.3579799195. The cubic root of 129012296 is about 505.2934881936.

The spelling of 129012296 in words is "one hundred twenty-nine million, twelve thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 397 794 829 1588 1658 2779 3176 3316 5558 5803 6632 11116 11606 19453 22232 23212 38906 40621 46424 77812 81242 155624 162484 324968 329113 658226 1316452 2303791 2632904 4607582 9215164 16126537 18430328 32253074 64506148 129012296