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116382 = 23717163
BaseRepresentation
bin11100011010011110
312220122110
4130122132
512211012
62254450
7663210
oct343236
9186573
10116382
117a492
1257426
1340c86
14305b0
152473c
hex1c69e

116382 has 32 divisors (see below), whose sum is σ = 283392. Its totient is φ = 31104.

The previous prime is 116381. The next prime is 116387. The reversal of 116382 is 283611.

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

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116381) 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, 633 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (8856).

2116382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141696).

116382 is an abundant number, since it is smaller than the sum of its proper divisors (167010).

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

116382 is a wasteful number, since it uses less digits than its factorization.

116382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192.

The product of its digits is 288, while the sum is 21.

The square root of 116382 is about 341.1480616976. The cubic root of 116382 is about 48.8234658264.

Adding to 116382 its sum of digits (21), we get a triangular number (116403 = T482).

Adding to 116382 its reverse (283611), we get a palindrome (399993).

The spelling of 116382 in words is "one hundred sixteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 163 238 326 357 489 714 978 1141 2282 2771 3423 5542 6846 8313 16626 19397 38794 58191 116382