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2084793120 = 253353713043
BaseRepresentation
bin111110001000011…
…0110101100100000
312101021220110112000
41330100312230200
513232201334440
6542512204000
7102443310024
oct17420665440
95337813460
102084793120
1197a8a1a23
124a2239600
13272bc52c7
1415ac4c384
15c3061730
hex7c436b20

2084793120 has 192 divisors, whose sum is σ = 7494560640. Its totient is φ = 540877824.

The previous prime is 2084793103. The next prime is 2084793223. The reversal of 2084793120 is 213974802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153319 + ... + 166361.

It is an arithmetic number, because the mean of its divisors is an integer number (39034170).

Almost surely, 22084793120 is an apocalyptic number.

2084793120 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 2084793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747280320).

2084793120 is an abundant number, since it is smaller than the sum of its proper divisors (5409767520).

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

2084793120 is a wasteful number, since it uses less digits than its factorization.

2084793120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13104 (or 13090 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2084793120 is about 45659.5348202322. The cubic root of 2084793120 is about 1277.4806238867.

The spelling of 2084793120 in words is "two billion, eighty-four million, seven hundred ninety-three thousand, one hundred twenty".