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1916240 = 245171409
BaseRepresentation
bin111010011110101010000
310121100120212
413103311100
5442304430
6105023252
722200464
oct7236520
93540525
101916240
111099777
12784b28
13521291
1437c4a4
1527cb95
hex1d3d50

1916240 has 40 divisors (see below), whose sum is σ = 4720680. Its totient is φ = 720896.

The previous prime is 1916231. The next prime is 1916249. The reversal of 1916240 is 426191.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1916231) and next prime (1916249).

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 1882384 = 184^2 + 1372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1916249) 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, 656 + ... + 2064.

It is an arithmetic number, because the mean of its divisors is an integer number (118017).

21916240 is an apocalyptic number.

1916240 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 1916240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360340).

1916240 is an abundant number, since it is smaller than the sum of its proper divisors (2804440).

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

1916240 is a wasteful number, since it uses less digits than its factorization.

1916240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1916240 is about 1384.2832080178. The cubic root of 1916240 is about 124.2081139252.

The spelling of 1916240 in words is "one million, nine hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1409 2818 5636 7045 11272 14090 22544 23953 28180 47906 56360 95812 112720 119765 191624 239530 383248 479060 958120 1916240