Search a number
-
+
968080896 = 293531251
BaseRepresentation
bin111001101100111…
…011111000000000
32111110121121100000
4321230323320000
53440312042041
6240021200000
732663360166
oct7154737000
92443547300
10968080896
11457502562
12230260000
13125742843
14927dd236
1559ec8bb6
hex39b3be00

968080896 has 240 divisors, whose sum is σ = 3002807808. Its totient is φ = 311040000.

The previous prime is 968080891. The next prime is 968080903. The reversal of 968080896 is 698080869.

968080896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

968080896 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968080891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3856771 + ... + 3857021.

Almost surely, 2968080896 is an apocalyptic number.

968080896 is a gapful number since it is divisible by the number (96) 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 968080896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501403904).

968080896 is an abundant number, since it is smaller than the sum of its proper divisors (2034726912).

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

968080896 is an equidigital number, since it uses as much as digits as its factorization.

968080896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 968080896 is about 31113.9983930063. The cubic root of 968080896 is about 989.2450442657.

The spelling of 968080896 in words is "nine hundred sixty-eight million, eighty thousand, eight hundred ninety-six".