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1820112 = 24375417
BaseRepresentation
bin110111100010111010000
310102110201120
412330113100
5431220422
6103002240
721320310
oct6742720
93373646
101820112
111033528
12739380
134b95b8
14355440
1525e45c
hex1bc5d0

1820112 has 40 divisors (see below), whose sum is σ = 5374656. Its totient is φ = 519936.

The previous prime is 1820111. The next prime is 1820123. The reversal of 1820112 is 2110281.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1820091 and 1820100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2373 + ... + 3044.

21820112 is an apocalyptic number.

1820112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1820112 is an abundant number, since it is smaller than the sum of its proper divisors (3554544).

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

1820112 is a wasteful number, since it uses less digits than its factorization.

1820112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5429 counting only the distinct ones).

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

The square root of 1820112 is about 1349.1152656463. The cubic root of 1820112 is about 122.0954193934.

Adding to 1820112 its reverse (2110281), we get a palindrome (3930393).

The spelling of 1820112 in words is "one million, eight hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 5417 10834 16251 21668 32502 37919 43336 65004 75838 86672 113757 130008 151676 227514 260016 303352 455028 606704 910056 1820112