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116072 = 23111319
BaseRepresentation
bin11100010101101000
312220012222
4130111220
512203242
62253212
7662255
oct342550
9186188
10116072
117a230
1257208
1340aa8
143042c
15245d2
hex1c568

116072 has 16 divisors (see below), whose sum is σ = 237600. Its totient is φ = 52720.

The previous prime is 116047. The next prime is 116089. The reversal of 116072 is 270611.

It is a happy number.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 116072.

It is an unprimeable number.

116072 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 3 ways as a sum of consecutive naturals, for example, 572 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2116072 is an apocalyptic number.

It is an amenable number.

116072 is an abundant number, since it is smaller than the sum of its proper divisors (121528).

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

116072 is a wasteful number, since it uses less digits than its factorization.

116072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 116072 is about 340.6934105615. The cubic root of 116072 is about 48.7800778665.

Adding to 116072 its reverse (270611), we get a palindrome (386683).

The spelling of 116072 in words is "one hundred sixteen thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 1319 2638 5276 10552 14509 29018 58036 116072