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112824 = 23321567
BaseRepresentation
bin11011100010111000
312201202200
4123202320
512102244
62230200
7646635
oct334270
9181680
10112824
1177848
1255360
133c47a
142d18c
1523669
hex1b8b8

112824 has 24 divisors (see below), whose sum is σ = 305760. Its totient is φ = 37584.

The previous prime is 112807. The next prime is 112831. The reversal of 112824 is 428211.

It is a tau number, because it is divible by the number of its divisors (24).

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 plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 112797 and 112806.

It is a congruent number.

It is an unprimeable number.

112824 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 5 ways as a sum of consecutive naturals, for example, 712 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

2112824 is an apocalyptic number.

It is an amenable number.

112824 is an abundant number, since it is smaller than the sum of its proper divisors (192936).

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

112824 is a wasteful number, since it uses less digits than its factorization.

112824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1572 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 112824 is about 335.8928400547. The cubic root of 112824 is about 48.3207683020.

It can be divided in two parts, 1128 and 24, that multiplied together give a palindrome (27072).

The spelling of 112824 in words is "one hundred twelve thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1567 3134 4701 6268 9402 12536 14103 18804 28206 37608 56412 112824