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1080480 = 25352251
BaseRepresentation
bin100000111110010100000
32000220010210
410013302200
5234033410
635054120
712120042
oct4076240
92026123
101080480
11678865
12441340
132baa4b
14201a92
15165220
hex107ca0

1080480 has 48 divisors (see below), whose sum is σ = 3405024. Its totient is φ = 288000.

The previous prime is 1080479. The next prime is 1080481. The reversal of 1080480 is 840801.

It is an interprime number because it is at equal distance from previous prime (1080479) and next prime (1080481).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1080481) 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, 646 + ... + 1605.

It is an arithmetic number, because the mean of its divisors is an integer number (70938).

21080480 is an apocalyptic number.

1080480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1080480 is an abundant number, since it is smaller than the sum of its proper divisors (2324544).

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

1080480 is a wasteful number, since it uses less digits than its factorization.

1080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1080480 is about 1039.4613989947. The cubic root of 1080480 is about 102.6137543355.

It can be divided in two parts, 1080 and 480, that multiplied together give a square (518400 = 7202).

The spelling of 1080480 in words is "one million, eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2251 4502 6753 9004 11255 13506 18008 22510 27012 33765 36016 45020 54024 67530 72032 90040 108048 135060 180080 216096 270120 360160 540240 1080480