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1080540864 = 263313103467
BaseRepresentation
bin100000001100111…
…1011111011000000
32210022020011102000
41000121323323000
54203104301424
6255115424000
735530305624
oct10031737300
92708204360
101080540864
11504a34387
12261a55000
13142b297c0
14a3715184
1564ce03c9
hex4067bec0

1080540864 has 224 divisors, whose sum is σ = 3461552640. Its totient is φ = 328541184.

The previous prime is 1080540719. The next prime is 1080540913. The reversal of 1080540864 is 4680450801.

1080540864 is a `hidden beast` number, since 108 + 0 + 540 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2313559 + ... + 2314025.

It is an arithmetic number, because the mean of its divisors is an integer number (15453360).

Almost surely, 21080540864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1080540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730776320).

1080540864 is an abundant number, since it is smaller than the sum of its proper divisors (2381011776).

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

1080540864 is a wasteful number, since it uses less digits than its factorization.

1080540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1080540864 is about 32871.5814040031. The cubic root of 1080540864 is about 1026.1568106139.

The spelling of 1080540864 in words is "one billion, eighty million, five hundred forty thousand, eight hundred sixty-four".