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1083068096 = 261121719433
BaseRepresentation
bin100000010001110…
…0100111011000000
32210110222120010012
41000203210323000
54204231134341
6255245524052
735560632635
oct10043447300
92713876105
101083068096
11506400100
12262873628
13143502bc6
14a3bb218c
156513e0eb
hex408e4ec0

1083068096 has 168 divisors, whose sum is σ = 2639049840. Its totient is φ = 437944320.

The previous prime is 1083068093. The next prime is 1083068131. The reversal of 1083068096 is 6908603801.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1083068093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2501096 + ... + 2501528.

It is an arithmetic number, because the mean of its divisors is an integer number (15708630).

Almost surely, 21083068096 is an apocalyptic number.

1083068096 is a gapful number since it is divisible by the number (16) 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 1083068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319524920).

1083068096 is an abundant number, since it is smaller than the sum of its proper divisors (1555981744).

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

1083068096 is a wasteful number, since it uses less digits than its factorization.

1083068096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 1083068096 is about 32909.9999392282. Note that the first 4 decimals coincide. The cubic root of 1083068096 is about 1026.9561995196.

The spelling of 1083068096 in words is "one billion, eighty-three million, sixty-eight thousand, ninety-six".