Search a number
-
+
260131107960 = 23345172353787
BaseRepresentation
bin1111001001000100000…
…1011011010001111000
3220212102222120110120000
43302101001123101320
513230222030423320
6315300320233000
724536201635443
oct3622101332170
9825388513500
10260131107960
11a0359257649
12424b946b760
131b6b7c92229
14c83a14265a
156b77473c90
hex3c9105b478

260131107960 has 480 divisors, whose sum is σ = 932600694960. Its totient is φ = 65020133376.

The previous prime is 260131107947. The next prime is 260131107991. The reversal of 260131107960 is 69701131062.

260131107960 is a `hidden beast` number, since 2 + 601 + 31 + 10 + 7 + 9 + 6 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 330534687 + ... + 330535473.

Almost surely, 2260131107960 is an apocalyptic number.

260131107960 is a gapful number since it is divisible by the number (20) 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 260131107960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466300347480).

260131107960 is an abundant number, since it is smaller than the sum of its proper divisors (672469587000).

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

260131107960 is a wasteful number, since it uses less digits than its factorization.

260131107960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 260131107960 in words is "two hundred sixty billion, one hundred thirty-one million, one hundred seven thousand, nine hundred sixty".