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161112 = 23372137
BaseRepresentation
bin100111010101011000
322012000010
4213111120
520123422
63241520
71240500
oct472530
9265003
10161112
11100056
12792a0
1358443
1442a00
1532b0c
hex27558

161112 has 48 divisors (see below), whose sum is σ = 471960. Its totient is φ = 45696.

The previous prime is 161093. The next prime is 161123. The reversal of 161112 is 211161.

It is a happy number.

161112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

161112 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 11 ways as a sum of consecutive naturals, for example, 1108 + ... + 1244.

2161112 is an apocalyptic number.

161112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235980).

161112 is an abundant number, since it is smaller than the sum of its proper divisors (310848).

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

161112 is a wasteful number, since it uses less digits than its factorization.

161112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its digits is 12, while the sum is 12.

The square root of 161112 is about 401.3875932313. The cubic root of 161112 is about 54.4138301054.

Adding to 161112 its reverse (211161), we get a palindrome (372273).

It can be divided in two parts, 16 and 1112, that added together give a triangular number (1128 = T47).

The spelling of 161112 in words is "one hundred sixty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 137 147 168 196 274 294 392 411 548 588 822 959 1096 1176 1644 1918 2877 3288 3836 5754 6713 7672 11508 13426 20139 23016 26852 40278 53704 80556 161112