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112420 = 22571173
BaseRepresentation
bin11011011100100100
312201012201
4123130210
512044140
62224244
7645520
oct333444
9181181
10112420
1177510
1255084
133c229
142cd80
152349a
hex1b724

112420 has 48 divisors (see below), whose sum is σ = 298368. Its totient is φ = 34560.

The previous prime is 112403. The next prime is 112429. The reversal of 112420 is 24211.

112420 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 8 and base 15.

It is a nialpdrome in base 11.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 112397 and 112406.

It is not an unprimeable number, because it can be changed into a prime (112429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1504 + ... + 1576.

It is an arithmetic number, because the mean of its divisors is an integer number (6216).

2112420 is an apocalyptic number.

112420 is a gapful number since it is divisible by the number (10) 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 112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149184).

112420 is an abundant number, since it is smaller than the sum of its proper divisors (185948).

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

112420 is a wasteful number, since it uses less digits than its factorization.

112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

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

The square root of 112420 is about 335.2909184574. The cubic root of 112420 is about 48.2630236797.

Adding to 112420 its reverse (24211), we get a palindrome (136631).

Subtracting from 112420 its reverse (24211), we obtain a square (88209 = 2972).

It can be divided in two parts, 1 and 12420, that added together give a palindrome (12421).

The spelling of 112420 in words is "one hundred twelve thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 385 511 730 770 803 1022 1460 1540 1606 2044 2555 3212 4015 5110 5621 8030 10220 11242 16060 22484 28105 56210 112420