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1081896480 = 253357219269
BaseRepresentation
bin100000001111100…
…0110111000100000
32210101210000222000
41000133012320200
54203431141410
6255204444000
735544653100
oct10037067040
92711700860
101081896480
1150577a925
122623a9600
131431b2842
14a3989200
1564eabdc0
hex407c6e20

1081896480 has 576 divisors, whose sum is σ = 4653936000. Its totient is φ = 233404416.

The previous prime is 1081896457. The next prime is 1081896493. The reversal of 1081896480 is 846981801.

1081896480 is a `hidden beast` number, since 1 + 0 + 81 + 8 + 96 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4021786 + ... + 4022054.

It is an arithmetic number, because the mean of its divisors is an integer number (8079750).

Almost surely, 21081896480 is an apocalyptic number.

1081896480 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 1081896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326968000).

1081896480 is an abundant number, since it is smaller than the sum of its proper divisors (3572039520).

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

1081896480 is a wasteful number, since it uses less digits than its factorization.

1081896480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1081896480 is about 32892.1948188320. The cubic root of 1081896480 is about 1026.5857603829.

The spelling of 1081896480 in words is "one billion, eighty-one million, eight hundred ninety-six thousand, four hundred eighty".