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111996 = 22331761
BaseRepresentation
bin11011010101111100
312200122000
4123111330
512040441
62222300
7644343
oct332574
9180560
10111996
1177165
1254990
133bc91
142cb5a
15232b6
hex1b57c

111996 has 48 divisors (see below), whose sum is σ = 312480. Its totient is φ = 34560.

The previous prime is 111977. The next prime is 111997. The reversal of 111996 is 699111.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111997) by changing a digit.

111996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1806 + ... + 1866.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2111996 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 111996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

111996 is an abundant number, since it is smaller than the sum of its proper divisors (200484).

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

111996 is a wasteful number, since it uses less digits than its factorization.

111996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its digits is 486, while the sum is 27.

The square root of 111996 is about 334.6580344172. The cubic root of 111996 is about 48.2022714333.

The spelling of 111996 in words is "one hundred eleven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 61 68 102 108 122 153 183 204 244 306 366 459 549 612 732 918 1037 1098 1647 1836 2074 2196 3111 3294 4148 6222 6588 9333 12444 18666 27999 37332 55998 111996