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116319 = 3729191
BaseRepresentation
bin11100011001011111
312220120010
4130121133
512210234
62254303
7663060
oct343137
9186503
10116319
117a435
1257393
1340c38
1430567
15246e9
hex1c65f

116319 has 16 divisors (see below), whose sum is σ = 184320. Its totient is φ = 63840.

The previous prime is 116293. The next prime is 116329. The reversal of 116319 is 913611.

It is a happy number.

It is not a de Polignac number, because 116319 - 27 = 116191 is a prime.

It is a super-2 number, since 2×1163192 = 27060219522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 116295 and 116304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (11520).

2116319 is an apocalyptic number.

116319 is a deficient number, since it is larger than the sum of its proper divisors (68001).

116319 is a wasteful number, since it uses less digits than its factorization.

116319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230.

The product of its digits is 162, while the sum is 21.

The square root of 116319 is about 341.0557139237. The cubic root of 116319 is about 48.8146545167.

It can be divided in two parts, 116 and 319, that added together give a triangular number (435 = T29).

The spelling of 116319 in words is "one hundred sixteen thousand, three hundred nineteen".

Divisors: 1 3 7 21 29 87 191 203 573 609 1337 4011 5539 16617 38773 116319