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1200232020 = 22351310391481
BaseRepresentation
bin100011110001010…
…0001011001010100
310002122110002210210
41013202201121110
54424224411040
6315033045420
741512542501
oct10742413124
93078402723
101200232020
11566555099
12295b56870
13161875c80
14b55904a8
1570584480
hex478a1654

1200232020 has 96 divisors (see below), whose sum is σ = 3625090560. Its totient is φ = 294958080.

The previous prime is 1200232013. The next prime is 1200232021. The reversal of 1200232020 is 202320021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1200231987 and 1200232005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200232021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809680 + ... + 811160.

It is an arithmetic number, because the mean of its divisors is an integer number (37761360).

Almost surely, 21200232020 is an apocalyptic number.

1200232020 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 1200232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812545280).

1200232020 is an abundant number, since it is smaller than the sum of its proper divisors (2424858540).

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

1200232020 is a wasteful number, since it uses less digits than its factorization.

1200232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1200232020 is about 34644.3649097512. The cubic root of 1200232020 is about 1062.7270531138.

Adding to 1200232020 its reverse (202320021), we get a palindrome (1402552041).

The spelling of 1200232020 in words is "one billion, two hundred million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1039 1481 2078 2962 3117 4156 4443 5195 5924 6234 7405 8886 10390 12468 13507 14810 15585 17772 19253 20780 22215 27014 29620 31170 38506 40521 44430 54028 57759 62340 67535 77012 81042 88860 96265 115518 135070 162084 192530 202605 231036 270140 288795 385060 405210 577590 810420 1155180 1538759 3077518 4616277 6155036 7693795 9232554 15387590 18465108 20003867 23081385 30775180 40007734 46162770 60011601 80015468 92325540 100019335 120023202 200038670 240046404 300058005 400077340 600116010 1200232020