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111924 = 22323109
BaseRepresentation
bin11011010100110100
312200112100
4123110310
512040144
62222100
7644211
oct332464
9180470
10111924
11770aa
1254930
133bc37
142cb08
1523269
hex1b534

111924 has 18 divisors (see below), whose sum is σ = 283010. Its totient is φ = 37296.

The previous prime is 111919. The next prime is 111949. The reversal of 111924 is 429111.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 32400 = 282^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6 and base 7.

It is a junction number, because it is equal to n+sod(n) for n = 111897 and 111906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1519 + ... + 1590.

2111924 is an apocalyptic number.

It is an amenable number.

111924 is an abundant number, since it is smaller than the sum of its proper divisors (171086).

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

111924 is a wasteful number, since it uses less digits than its factorization.

111924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3114 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 111924 is about 334.5504446268. The cubic root of 111924 is about 48.1919397919.

It can be divided in two parts, 111 and 924, that added together give a triangular number (1035 = T45).

The spelling of 111924 in words is "one hundred eleven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3109 6218 9327 12436 18654 27981 37308 55962 111924