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116964 = 2234192
BaseRepresentation
bin11100100011100100
312221110000
4130203210
512220324
62301300
7665001
oct344344
9187400
10116964
117a971
1257830
1341313
14308a8
15249c9
hex1c8e4

116964 has 45 divisors (see below), whose sum is σ = 322707. Its totient is φ = 36936.

The previous prime is 116959. The next prime is 116969. The reversal of 116964 is 469611.

116964 = T341 + T342.

The square root of 116964 is 342.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (116959) and next prime (116969).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1296) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (116969) by changing a digit.

116964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6147 + ... + 6165.

2116964 is an apocalyptic number.

116964 is the 342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116964

116964 is an abundant number, since it is smaller than the sum of its proper divisors (205743).

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

116964 is a wasteful number, since it uses less digits than its factorization.

116964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 24 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The cubic root of 116964 is about 48.9047155677.

Multiplying 116964 by its product of digits (1296), we get a square (151585344 = 123122).

The spelling of 116964 in words is "one hundred sixteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1083 1444 1539 2052 2166 3078 3249 4332 6156 6498 9747 12996 19494 29241 38988 58482 116964