Search a number
-
+
111942 = 234691
BaseRepresentation
bin11011010101000110
312200120000
4123111012
512040232
62222130
7644235
oct332506
9180500
10111942
1177116
1254946
133bc4c
142cb1c
152327c
hex1b546

111942 has 20 divisors (see below), whose sum is σ = 251196. Its totient is φ = 37260.

The previous prime is 111919. The next prime is 111949. The reversal of 111942 is 249111.

It is a super-2 number, since 2×1119422 = 25062022728, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 111942.

It is not an unprimeable number, because it can be changed into a prime (111949) by changing a digit.

111942 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 9 ways as a sum of consecutive naturals, for example, 184 + ... + 507.

2111942 is an apocalyptic number.

111942 is an abundant number, since it is smaller than the sum of its proper divisors (139254).

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

111942 is an equidigital number, since it uses as much as digits as its factorization.

111942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

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

The square root of 111942 is about 334.5773453179. The cubic root of 111942 is about 48.1945231175.

It can be divided in two parts, 11 and 1942, that added together give a triangular number (1953 = T62).

The spelling of 111942 in words is "one hundred eleven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 691 1382 2073 4146 6219 12438 18657 37314 55971 111942