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1107663480 = 23325711311289
BaseRepresentation
bin100001000000101…
…1001101001111000
32212012021010122100
41002001121221320
54232030212410
6301525023400
736306661410
oct10201315170
92765233570
101107663480
11519279a70
1226ab54b60
13148634ba1
14a7175640
156739b8c0
hex42059a78

1107663480 has 384 divisors, whose sum is σ = 4636569600. Its totient is φ = 222566400.

The previous prime is 1107663451. The next prime is 1107663527. The reversal of 1107663480 is 843667011.

1107663480 is a `hidden beast` number, since 1 + 10 + 7 + 6 + 634 + 8 + 0 = 666.

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

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, 858676 + ... + 859964.

It is an arithmetic number, because the mean of its divisors is an integer number (12074400).

Almost surely, 21107663480 is an apocalyptic number.

1107663480 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 1107663480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318284800).

1107663480 is an abundant number, since it is smaller than the sum of its proper divisors (3528906120).

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

1107663480 is a wasteful number, since it uses less digits than its factorization.

1107663480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1107663480 is about 33281.5786885178. The cubic root of 1107663480 is about 1034.6717995997.

The spelling of 1107663480 in words is "one billion, one hundred seven million, six hundred sixty-three thousand, four hundred eighty".