Search a number
-
+
112024 = 23111967
BaseRepresentation
bin11011010110011000
312200200001
4123112120
512041044
62222344
7644413
oct332630
9180601
10112024
1177190
12549b4
133bcb3
142cb7a
15232d4
hex1b598

112024 has 32 divisors (see below), whose sum is σ = 244800. Its totient is φ = 47520.

The previous prime is 112019. The next prime is 112031. The reversal of 112024 is 420211.

112024 = T21 + T22 + ... + T87.

112024 is nontrivially palindromic in base 13.

It is a plaindrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 112024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1639 + ... + 1705.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2112024 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 112024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122400).

112024 is an abundant number, since it is smaller than the sum of its proper divisors (132776).

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

112024 is a wasteful number, since it uses less digits than its factorization.

112024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 112024 is about 334.6998655512. The cubic root of 112024 is about 48.2062880980.

Adding to 112024 its reverse (420211), we get a palindrome (532235).

The spelling of 112024 in words is "one hundred twelve thousand, twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 11 19 22 38 44 67 76 88 134 152 209 268 418 536 737 836 1273 1474 1672 2546 2948 5092 5896 10184 14003 28006 56012 112024