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116306964 = 22323230749
BaseRepresentation
bin1101110111010…
…11010000010100
322002212000011100
412323223100110
5214233310324
615312510100
72611410234
oct673532024
9262760140
10116306964
115a71a164
1232b4b330
131b132cb7
1411637cc4
15a3264c9
hex6eeb414

116306964 has 18 divisors (see below), whose sum is σ = 293998250. Its totient is φ = 38768976.

The previous prime is 116306933. The next prime is 116307001. The reversal of 116306964 is 469603611.

116306964 is a `hidden beast` number, since 11 + 630 + 6 + 9 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114318864 + 1988100 = 10692^2 + 1410^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3230749 = 116306964 / (1 + 1 + 6 + 3 + 0 + 6 + 9 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1615339 + ... + 1615410.

Almost surely, 2116306964 is an apocalyptic number.

It is an amenable number.

116306964 is an abundant number, since it is smaller than the sum of its proper divisors (177691286).

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

116306964 is a wasteful number, since it uses less digits than its factorization.

116306964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230759 (or 3230754 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 116306964 is about 10784.5706451393. The cubic root of 116306964 is about 488.1297077501.

The spelling of 116306964 in words is "one hundred sixteen million, three hundred six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3230749 6461498 9692247 12922996 19384494 29076741 38768988 58153482 116306964