Search a number
-
+
129491712 = 2832723137
BaseRepresentation
bin1111011011111…
…10001100000000
3100000122212020100
413231332030000
5231122213322
620503242400
73131442600
oct755761400
9300585210
10129491712
1167105049
1237449400
1320a9b31c
14132aac00
15b57cdac
hex7b7e300

129491712 has 324 divisors, whose sum is σ = 460439616. Its totient is φ = 34836480.

The previous prime is 129491701. The next prime is 129491723. The reversal of 129491712 is 217194921.

It is an interprime number because it is at equal distance from previous prime (129491701) and next prime (129491723).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3499758 + ... + 3499794.

Almost surely, 2129491712 is an apocalyptic number.

129491712 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 129491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230219808).

129491712 is an abundant number, since it is smaller than the sum of its proper divisors (330947904).

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

129491712 is a wasteful number, since it uses less digits than its factorization.

129491712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 129491712 is about 11379.4425171007. The cubic root of 129491712 is about 505.9186129366.

The spelling of 129491712 in words is "one hundred twenty-nine million, four hundred ninety-one thousand, seven hundred twelve".