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1080806400 = 21032524691
BaseRepresentation
bin100000001101011…
…1100110000000000
32210022201122122200
41000122330300000
54203141301100
6255125233200
735532463032
oct10032746000
92708648580
101080806400
115050a5933
12261b62800
13142bc061b
14a3783c52
1564d43e00
hex406bcc00

1080806400 has 198 divisors, whose sum is σ = 3870623172. Its totient is φ = 288153600.

The previous prime is 1080806381. The next prime is 1080806417. The reversal of 1080806400 is 46080801.

1080806400 is a `hidden beast` number, since 10 + 8 + 0 + 8 + 0 + 640 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 228055 + ... + 232745.

Almost surely, 21080806400 is an apocalyptic number.

1080806400 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 1080806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935311586).

1080806400 is an abundant number, since it is smaller than the sum of its proper divisors (2789816772).

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

1080806400 is a wasteful number, since it uses less digits than its factorization.

1080806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1080806400 is about 32875.6201462421. The cubic root of 1080806400 is about 1026.2408608850.

The spelling of 1080806400 in words is "one billion, eighty million, eight hundred six thousand, four hundred".