Search a number
BaseRepresentation
bin1101110111010…
…00110100000000
322002211111102211
412323220310000
5214233000320
615312351504
72611336123
oct673506400
9262744384
10116296960
115a71269a
1232b45594
131b12b590
14116343ba
15a32355a
hex6ee8d00

116296960 has 144 divisors (see below), whose sum is σ = 311628240. Its totient is φ = 41287680.

The previous prime is 116296933. The next prime is 116296969. The reversal of 116296960 is 69692611.

It can be written as a sum of positive squares in 8 ways, for example, as 1721344 + 114575616 = 1312^2 + 10704^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116296969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482440 + ... + 482680.

It is an arithmetic number, because the mean of its divisors is an integer number (2164085).

Almost surely, 2116296960 is an apocalyptic number.

116296960 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 116296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155814120).

116296960 is an abundant number, since it is smaller than the sum of its proper divisors (195331280).

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

116296960 is a wasteful number, since it uses less digits than its factorization.

116296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 116296960 is about 10784.1068243967. The cubic root of 116296960 is about 488.1157120573.

The spelling of 116296960 in words is "one hundred sixteen million, two hundred ninety-six thousand, nine hundred sixty".