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116272 = 2413243
BaseRepresentation
bin11100011000110000
312220111101
4130120300
512210042
62254144
7662662
oct343060
9186441
10116272
117a3a2
1257354
1340c00
1430532
15246b7
hex1c630

116272 has 30 divisors (see below), whose sum is σ = 249612. Its totient is φ = 52416.

The previous prime is 116269. The next prime is 116273. The reversal of 116272 is 272611.

Adding to 116272 its reverse (272611), we get a palindrome (388883).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (116273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2683 + ... + 2725.

2116272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124806).

116272 is an abundant number, since it is smaller than the sum of its proper divisors (133340).

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

116272 is a wasteful number, since it uses less digits than its factorization.

116272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its digits is 168, while the sum is 19.

The square root of 116272 is about 340.9868032637. The cubic root of 116272 is about 48.8080789276.

The spelling of 116272 in words is "one hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 169 172 208 338 344 559 676 688 1118 1352 2236 2704 4472 7267 8944 14534 29068 58136 116272