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1319380 = 225411609
BaseRepresentation
bin101000010000111010100
32111000211221
411002013110
5314210010
644140124
714133406
oct5020724
92430757
101319380
118212a7
12537644
133726ca
14264b76
151b0dda
hex1421d4

1319380 has 24 divisors (see below), whose sum is σ = 2840040. Its totient is φ = 514560.

The previous prime is 1319377. The next prime is 1319389. The reversal of 1319380 is 839131.

It can be written as a sum of positive squares in 4 ways, for example, as 161604 + 1157776 = 402^2 + 1076^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 1624.

It is an arithmetic number, because the mean of its divisors is an integer number (118335).

21319380 is an apocalyptic number.

1319380 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 1319380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420020).

1319380 is an abundant number, since it is smaller than the sum of its proper divisors (1520660).

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

1319380 is a wasteful number, since it uses less digits than its factorization.

1319380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 1319380 is about 1148.6426772500. The cubic root of 1319380 is about 109.6789537122.

Subtracting from 1319380 its reverse (839131), we obtain a square (480249 = 6932).

The spelling of 1319380 in words is "one million, three hundred nineteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1609 3218 6436 8045 16090 32180 65969 131938 263876 329845 659690 1319380