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1083898368 = 2933723487
BaseRepresentation
bin100000010011010…
…1111101000000000
32210112112202001000
41000212233220000
54204434221433
6255315412000
735600661360
oct10046575000
92715482030
101083898368
11506917983
12262bb4000
13143733aa7
14a3d4a9a0
1565255113
hex409afa00

1083898368 has 320 divisors, whose sum is σ = 3834040320. Its totient is φ = 295612416.

The previous prime is 1083898351. The next prime is 1083898399. The reversal of 1083898368 is 8638983801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2225421 + ... + 2225907.

It is an arithmetic number, because the mean of its divisors is an integer number (11981376).

Almost surely, 21083898368 is an apocalyptic number.

1083898368 is a gapful number since it is divisible by the number (18) 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 1083898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917020160).

1083898368 is an abundant number, since it is smaller than the sum of its proper divisors (2750141952).

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

1083898368 is an equidigital number, since it uses as much as digits as its factorization.

1083898368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 1083898368 is about 32922.6118040474. The cubic root of 1083898368 is about 1027.2185515035.

The spelling of 1083898368 in words is "one billion, eighty-three million, eight hundred ninety-eight thousand, three hundred sixty-eight".