Search a number
-
+
1080240 = 24357643
BaseRepresentation
bin100000111101110110000
32000212210220
410013232300
5234031430
635053040
712116250
oct4075660
92025726
101080240
11678667
12441180
132ba8c5
14201960
15165110
hex107bb0

1080240 has 80 divisors (see below), whose sum is σ = 3833088. Its totient is φ = 246528.

The previous prime is 1080229. The next prime is 1080251. The reversal of 1080240 is 420801.

1080240 = 1682 + 1692 + ... + 1992.

It is an interprime number because it is at equal distance from previous prime (1080229) and next prime (1080251).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1359 + ... + 2001.

21080240 is an apocalyptic number.

1080240 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 1080240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916544).

1080240 is an abundant number, since it is smaller than the sum of its proper divisors (2752848).

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

1080240 is a wasteful number, since it uses less digits than its factorization.

1080240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1080240 is about 1039.3459481809. The cubic root of 1080240 is about 102.6061561308.

The spelling of 1080240 in words is "one million, eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 643 840 1286 1680 1929 2572 3215 3858 4501 5144 6430 7716 9002 9645 10288 12860 13503 15432 18004 19290 22505 25720 27006 30864 36008 38580 45010 51440 54012 67515 72016 77160 90020 108024 135030 154320 180040 216048 270060 360080 540120 1080240