Search a number
-
+
968116136 = 231317547577
BaseRepresentation
bin111001101101000…
…100011110101000
32111110200101200012
4321231010132220
53440314204021
6240022031052
732663565011
oct7155043650
92443611605
10968116136
11457526a89
12230278488
131257558b0
149280c008
1559ed435b
hex39b447a8

968116136 has 32 divisors (see below), whose sum is σ = 2069844840. Its totient is φ = 420538368.

The previous prime is 968116133. The next prime is 968116159. The reversal of 968116136 is 631611869.

968116136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 772284100 + 195832036 = 27790^2 + 13994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 968116093 and 968116102.

It is not an unprimeable number, because it can be changed into a prime (968116133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272021 + ... + 275556.

Almost surely, 2968116136 is an apocalyptic number.

It is an amenable number.

968116136 is an abundant number, since it is smaller than the sum of its proper divisors (1101728704).

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

968116136 is a wasteful number, since it uses less digits than its factorization.

968116136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547613 (or 547609 counting only the distinct ones).

The product of its digits is 46656, while the sum is 41.

The square root of 968116136 is about 31114.5646924395. The cubic root of 968116136 is about 989.2570475919.

The spelling of 968116136 in words is "nine hundred sixty-eight million, one hundred sixteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 547577 1095154 2190308 4380616 7118501 9308809 14237002 18617618 28474004 37235236 56948008 74470472 121014517 242029034 484058068 968116136