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2080863720 = 23325133761197
BaseRepresentation
bin111110000000111…
…0111010111101000
312101000111211101200
41330001313113220
513230200114340
6542252044200
7102365023035
oct17401672750
95330454350
102080863720
11978658791
124a0a63660
1327214a910
1415a50838c
15c2a37330
hex7c0775e8

2080863720 has 384 divisors, whose sum is σ = 7641073440. Its totient is φ = 487710720.

The previous prime is 2080863671. The next prime is 2080863721. The reversal of 2080863720 is 273680802.

It is a happy number.

2080863720 is a `hidden beast` number, since 208 + 0 + 86 + 372 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 276823044 + 1804040676 = 16638^2 + 42474^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2080863721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10562662 + ... + 10562858.

Almost surely, 22080863720 is an apocalyptic number.

2080863720 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 2080863720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820536720).

2080863720 is an abundant number, since it is smaller than the sum of its proper divisors (5560209720).

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

2080863720 is a wasteful number, since it uses less digits than its factorization.

2080863720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2080863720 is about 45616.4851780582. The cubic root of 2080863720 is about 1276.6775243149.

The spelling of 2080863720 in words is "two billion, eighty million, eight hundred sixty-three thousand, seven hundred twenty".