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1130796480 = 263511176299
BaseRepresentation
bin100001101100110…
…1001010111000000
32220210210102011010
41003121221113000
54303440441410
6304112520520
740010416512
oct10331512700
92823712133
101130796480
1153033a150
12276850140
13150374358
14aa277bb2
156941ac20
hex436695c0

1130796480 has 224 divisors, whose sum is σ = 4147718400. Its totient is φ = 257966080.

The previous prime is 1130796439. The next prime is 1130796503. The reversal of 1130796480 is 846970311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176371 + ... + 182669.

It is an arithmetic number, because the mean of its divisors is an integer number (18516600).

Almost surely, 21130796480 is an apocalyptic number.

1130796480 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 1130796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073859200).

1130796480 is an abundant number, since it is smaller than the sum of its proper divisors (3016921920).

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

1130796480 is a wasteful number, since it uses less digits than its factorization.

1130796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1130796480 is about 33627.3174666074. The cubic root of 1130796480 is about 1041.8250990024.

The spelling of 1130796480 in words is "one billion, one hundred thirty million, seven hundred ninety-six thousand, four hundred eighty".