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2823045120 = 2143257547
BaseRepresentation
bin1010100001000100…
…0100000000000000
321021202001112212200
42220101010000000
521240144420440
61144043353200
7126646326150
oct25021040000
97252045780
102823045120
111219598645
12669522800
1335cb386cc
141cad02760
15117c8cc30
hexa8444000

2823045120 has 360 divisors, whose sum is σ = 11204741184. Its totient is φ = 644087808.

The previous prime is 2823045097. The next prime is 2823045133. The reversal of 2823045120 is 215403282.

It is a tau number, because it is divible by the number of its divisors (360).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160687 + ... + 5161233.

Almost surely, 22823045120 is an apocalyptic number.

2823045120 is a gapful number since it is divisible by the number (20) 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 2823045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602370592).

2823045120 is an abundant number, since it is smaller than the sum of its proper divisors (8381696064).

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

2823045120 is an equidigital number, since it uses as much as digits as its factorization.

2823045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2823045120 is about 53132.3359170289. The cubic root of 2823045120 is about 1413.3159920344.

The spelling of 2823045120 in words is "two billion, eight hundred twenty-three million, forty-five thousand, one hundred twenty".