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1244322020 = 225312101641
BaseRepresentation
bin100101000101010…
…1101100011100100
310012201102002220202
41022022231203210
510022021301040
6323250050032
742556363664
oct11212554344
93181362822
101244322020
11589429607
122a8879918
1316aa42326
14bb38a1a4
1574393015
hex4a2ad8e4

1244322020 has 72 divisors (see below), whose sum is σ = 2731075704. Its totient is φ = 476160000.

The previous prime is 1244322019. The next prime is 1244322029. The reversal of 1244322020 is 202234421.

It can be written as a sum of positive squares in 4 ways, for example, as 700872676 + 543449344 = 26474^2 + 23312^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1244321983 and 1244322001.

It is not an unprimeable number, because it can be changed into a prime (1244322029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940900 + ... + 1941540.

It is an arithmetic number, because the mean of its divisors is an integer number (37931607).

Almost surely, 21244322020 is an apocalyptic number.

1244322020 is a gapful number since it is divisible by the number (10) 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 1244322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365537852).

1244322020 is an abundant number, since it is smaller than the sum of its proper divisors (1486753684).

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

1244322020 is a wasteful number, since it uses less digits than its factorization.

1244322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1244322020 is about 35274.9489014513. The cubic root of 1244322020 is about 1075.5838242098.

Adding to 1244322020 its reverse (202234421), we get a palindrome (1446556441).

The spelling of 1244322020 in words is "one billion, two hundred forty-four million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 641 961 1010 1282 1922 2020 2564 3131 3205 3844 4805 6262 6410 9610 12524 12820 15655 19220 19871 31310 39742 62620 64741 79484 97061 99355 129482 194122 198710 258964 323705 388244 397420 485305 616001 647410 970610 1232002 1294820 1941220 2006971 2464004 3080005 4013942 6160010 8027884 10034855 12320020 20069710 40139420 62216101 124432202 248864404 311080505 622161010 1244322020