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1315840 = 2105257
BaseRepresentation
bin101000001010000000000
32110211222211
411001100000
5314101330
644111504
714120161
oct5012000
92424884
101315840
11819679
12535594
13370c06
14263768
151aed2a
hex141400

1315840 has 44 divisors (see below), whose sum is σ = 3168756. Its totient is φ = 524288.

The previous prime is 1315837. The next prime is 1315849. The reversal of 1315840 is 485131.

It can be written as a sum of positive squares in 2 ways, for example, as 984064 + 331776 = 992^2 + 576^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315849) by changing a digit.

In principle, a polygon with 1315840 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4992 + ... + 5248.

21315840 is an apocalyptic number.

1315840 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 1315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584378).

1315840 is an abundant number, since it is smaller than the sum of its proper divisors (1852916).

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

1315840 is an equidigital number, since it uses as much as digits as its factorization.

1315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1315840 is about 1147.1006930518. The cubic root of 1315840 is about 109.5807734402.

The spelling of 1315840 in words is "one million, three hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 257 320 512 514 640 1024 1028 1280 1285 2056 2560 2570 4112 5120 5140 8224 10280 16448 20560 32896 41120 65792 82240 131584 164480 263168 328960 657920 1315840