Search a number
-
+
1890920 = 235411153
BaseRepresentation
bin111001101101001101000
310120001212002
413031221220
5441002140
6104310132
722033613
oct7155150
93501762
101890920
111081749
12772348
135128b5
1437317a
15275415
hex1cda68

1890920 has 32 divisors (see below), whose sum is σ = 4362120. Its totient is φ = 737280.

The previous prime is 1890913. The next prime is 1890923. The reversal of 1890920 is 290981.

It can be written as a sum of positive squares in 4 ways, for example, as 1304164 + 586756 = 1142^2 + 766^2 .

It is not an unprimeable number, because it can be changed into a prime (1890923) 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, 1064 + ... + 2216.

21890920 is an apocalyptic number.

1890920 is a gapful number since it is divisible by the number (10) 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 1890920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181060).

1890920 is an abundant number, since it is smaller than the sum of its proper divisors (2471200).

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

1890920 is a wasteful number, since it uses less digits than its factorization.

1890920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 1890920 is about 1375.1072685431. The cubic root of 1890920 is about 123.6586170230.

The spelling of 1890920 in words is "one million, eight hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1153 1640 2306 4612 5765 9224 11530 23060 46120 47273 94546 189092 236365 378184 472730 945460 1890920