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1082112 = 2831409
BaseRepresentation
bin100001000001100000000
32000222101020
410020030000
5234111422
635105440
712124563
oct4101400
92028336
101082112
1167a009
12442280
132bb705
142024da
1516595c
hex108300

1082112 has 36 divisors (see below), whose sum is σ = 2882040. Its totient is φ = 360448.

The previous prime is 1082099. The next prime is 1082129. The reversal of 1082112 is 2112801.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1082091 and 1082100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64 + ... + 1472.

21082112 is an apocalyptic number.

1082112 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 1082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441020).

1082112 is an abundant number, since it is smaller than the sum of its proper divisors (1799928).

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

1082112 is an equidigital number, since it uses as much as digits as its factorization.

1082112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1082112 is about 1040.2461247224. The cubic root of 1082112 is about 102.6653923119.

Adding to 1082112 its reverse (2112801), we get a palindrome (3194913).

The spelling of 1082112 in words is "one million, eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1409 2818 4227 5636 8454 11272 16908 22544 33816 45088 67632 90176 135264 180352 270528 360704 541056 1082112