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2820683412 = 223439721929
BaseRepresentation
bin1010100000100000…
…0011011010010100
321021120121120020000
42220020003122110
521234043332122
61143521011300
7126620261541
oct25010033224
97246546200
102820683412
111218225218
12668783b30
1335c4bc751
141ca889bc8
151179730ac
hexa8203694

2820683412 has 60 divisors (see below), whose sum is σ = 7392734580. Its totient is φ = 937816704.

The previous prime is 2820683381. The next prime is 2820683423. The reversal of 2820683412 is 2143860282.

It can be written as a sum of positive squares in 2 ways, for example, as 2507605776 + 313077636 = 50076^2 + 17694^2 .

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 117664 + ... + 139592.

It is an arithmetic number, because the mean of its divisors is an integer number (123212243).

Almost surely, 22820683412 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 2820683412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696367290).

2820683412 is an abundant number, since it is smaller than the sum of its proper divisors (4572051168).

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

2820683412 is a wasteful number, since it uses less digits than its factorization.

2820683412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22342 (or 22331 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2820683412 is about 53110.1064958450. The cubic root of 2820683412 is about 1412.9217639618.

The spelling of 2820683412 in words is "two billion, eight hundred twenty million, six hundred eighty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 397 794 1191 1588 2382 3573 4764 7146 10719 14292 21438 21929 32157 42876 43858 64314 65787 87716 128628 131574 197361 263148 394722 592083 789444 1184166 1776249 2368332 3552498 7104996 8705813 17411626 26117439 34823252 52234878 78352317 104469756 156704634 235056951 313409268 470113902 705170853 940227804 1410341706 2820683412