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1842112 = 26107269
BaseRepresentation
bin111000001101111000000
310110120220101
413001233000
5432421422
6103252144
721441406
oct7015700
93416811
101842112
111049008
1274a054
134c660c
1435d476
15265c27
hex1c1bc0

1842112 has 28 divisors (see below), whose sum is σ = 3703320. Its totient is φ = 909056.

The previous prime is 1842101. The next prime is 1842131. The reversal of 1842112 is 2112481.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1842112.

It is a congruent number.

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, 6714 + ... + 6982.

21842112 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 1842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851660).

1842112 is an abundant number, since it is smaller than the sum of its proper divisors (1861208).

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

1842112 is a wasteful number, since it uses less digits than its factorization.

1842112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

The square root of 1842112 is about 1357.2442668879. The cubic root of 1842112 is about 122.5853798785.

Adding to 1842112 its product of digits (128), we get a triangular number (1842240 = T1919).

Adding to 1842112 its reverse (2112481), we get a palindrome (3954593).

The spelling of 1842112 in words is "one million, eight hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 107 214 269 428 538 856 1076 1712 2152 3424 4304 6848 8608 17216 28783 57566 115132 230264 460528 921056 1842112