Search a number
-
+
129880080 = 243251123231
BaseRepresentation
bin1111011110111…
…01000000010000
3100001101120222100
413233131000100
5231222130310
620515440400
73134651061
oct757350020
9301346870
10129880080
116734a910
12375b6100
1320ba6025
141336c568
15b607ec0
hex7bdd010

129880080 has 360 divisors, whose sum is σ = 513467136. Its totient is φ = 29145600.

The previous prime is 129880043. The next prime is 129880141. The reversal of 129880080 is 80088921.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4189665 + ... + 4189695.

Almost surely, 2129880080 is an apocalyptic number.

129880080 is a gapful number since it is divisible by the number (10) 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 129880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256733568).

129880080 is an abundant number, since it is smaller than the sum of its proper divisors (383587056).

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

129880080 is a wasteful number, since it uses less digits than its factorization.

129880080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 129880080 is about 11396.4941977785. The cubic root of 129880080 is about 506.4238872255.

The spelling of 129880080 in words is "one hundred twenty-nine million, eight hundred eighty thousand, eighty".