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1083798144 = 273411131743
BaseRepresentation
bin100000010011001…
…0111001010000000
32210112100122120000
41000212113022000
54204423020034
6255313320000
735600063232
oct10046271200
92715318500
101083798144
11506859650
12262b66000
131436ca2a0
14a3d22252
1565235599
hex40997280

1083798144 has 640 divisors, whose sum is σ = 4105442880. Its totient is φ = 278691840.

The previous prime is 1083798139. The next prime is 1083798181. The reversal of 1083798144 is 4418973801.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1083798144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25204587 + ... + 25204629.

Almost surely, 21083798144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052721440).

1083798144 is an abundant number, since it is smaller than the sum of its proper divisors (3021644736).

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

1083798144 is a wasteful number, since it uses less digits than its factorization.

1083798144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1083798144 is about 32921.0896538982. The cubic root of 1083798144 is about 1027.1868895174.

The spelling of 1083798144 in words is "one billion, eighty-three million, seven hundred ninety-eight thousand, one hundred forty-four".