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1840168 = 231121901
BaseRepresentation
bin111000001010000101000
310110111020101
413001100220
5432341133
6103235144
721432631
oct7012050
93414211
101840168
111047600
12748ab4
134c5775
1435c888
1526537d
hex1c1428

1840168 has 24 divisors (see below), whose sum is σ = 3794490. Its totient is φ = 836000.

The previous prime is 1840123. The next prime is 1840171. The reversal of 1840168 is 8610481.

It can be written as a sum of positive squares in only one way, i.e., 1800964 + 39204 = 1342^2 + 198^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18 + ... + 1918.

21840168 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 1840168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897245).

1840168 is an abundant number, since it is smaller than the sum of its proper divisors (1954322).

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

1840168 is a wasteful number, since it uses less digits than its factorization.

1840168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1840168 is about 1356.5279208332. The cubic root of 1840168 is about 122.5422428241.

It can be divided in two parts, 18 and 40168, that added together give a triangular number (40186 = T283).

The spelling of 1840168 in words is "one million, eight hundred forty thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1901 3802 7604 15208 20911 41822 83644 167288 230021 460042 920084 1840168