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1904112 = 243271889
BaseRepresentation
bin111010000110111110000
310120201221200
413100313300
5441412422
6104451200
722120230
oct7206760
93521850
101904112
111090651
12779b00
135188c2
14377cc0
152792ac
hex1d0df0

1904112 has 60 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 543744.

The previous prime is 1904099. The next prime is 1904117. The reversal of 1904112 is 2114091.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904117) 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 11 ways as a sum of consecutive naturals, for example, 64 + ... + 1952.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

21904112 is an apocalyptic number.

1904112 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 1904112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

1904112 is an abundant number, since it is smaller than the sum of its proper divisors (4189248).

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

1904112 is a wasteful number, since it uses less digits than its factorization.

1904112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1904112 is about 1379.8956482285. The cubic root of 1904112 is about 123.9455189038.

It can be divided in two parts, 1904 and 112, that added together give a triangular number (2016 = T63).

The spelling of 1904112 in words is "one million, nine hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1889 3778 5667 7556 11334 13223 15112 17001 22668 26446 30224 34002 39669 45336 52892 68004 79338 90672 105784 119007 136008 158676 211568 238014 272016 317352 476028 634704 952056 1904112