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1080883440 = 24355713247
BaseRepresentation
bin100000001101100…
…1111100011110000
32210022212120100000
41000123033203300
54203201232230
6255131030000
735533233450
oct10033174360
92708776300
101080883440
115051487aa
12261b9b300
13142c19700
14a37a3d60
1564d5bb60
hex406cf8f0

1080883440 has 720 divisors, whose sum is σ = 4757695488. Its totient is φ = 223202304.

The previous prime is 1080883423. The next prime is 1080883469. The reversal of 1080883440 is 443880801.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 1080883395 and 1080883404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22997497 + ... + 22997543.

Almost surely, 21080883440 is an apocalyptic number.

1080883440 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 1080883440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378847744).

1080883440 is an abundant number, since it is smaller than the sum of its proper divisors (3676812048).

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

1080883440 is a wasteful number, since it uses less digits than its factorization.

1080883440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1080883440 is about 32876.7918142875. The cubic root of 1080883440 is about 1026.2652438265.

The spelling of 1080883440 in words is "one billion, eighty million, eight hundred eighty-three thousand, four hundred forty".