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1080630720 = 26355131069
BaseRepresentation
bin100000001101001…
…0001110111000000
32210022101201200000
41000122101313000
54203120140340
6255121400000
735531131611
oct10032216700
92708351600
101080630720
11504a95944
12261a99000
13142b5b680
14a3739c08
1564d0bd30
hex40691dc0

1080630720 has 336 divisors, whose sum is σ = 4154972640. Its totient is φ = 265752576.

The previous prime is 1080630679. The next prime is 1080630743. The reversal of 1080630720 is 270360801.

1080630720 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 630 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1010346 + ... + 1011414.

It is an arithmetic number, because the mean of its divisors is an integer number (12365990).

Almost surely, 21080630720 is an apocalyptic number.

1080630720 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 1080630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077486320).

1080630720 is an abundant number, since it is smaller than the sum of its proper divisors (3074341920).

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

1080630720 is a wasteful number, since it uses less digits than its factorization.

1080630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1080630720 is about 32872.9481488959. The cubic root of 1080630720 is about 1026.1852543294.

The spelling of 1080630720 in words is "one billion, eighty million, six hundred thirty thousand, seven hundred twenty".