Search a number
-
+
12026820 = 22351317907
BaseRepresentation
bin101101111000…
…001111000100
3211122000200210
4231320033010
511034324240
61105435420
7204140421
oct55701704
924560623
1012026820
116874a23
12403bb70
132651280
141850d48
1510c8780
hexb783c4

12026820 has 96 divisors (see below), whose sum is σ = 38441088. Its totient is φ = 2783232.

The previous prime is 12026809. The next prime is 12026827. The reversal of 12026820 is 2862021.

12026820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12026827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12807 + ... + 13713.

It is an arithmetic number, because the mean of its divisors is an integer number (400428).

Almost surely, 212026820 is an apocalyptic number.

12026820 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 12026820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19220544).

12026820 is an abundant number, since it is smaller than the sum of its proper divisors (26414268).

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

12026820 is a wasteful number, since it uses less digits than its factorization.

12026820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12026820 is about 3467.9705881106. The cubic root of 12026820 is about 229.1132840213.

Adding to 12026820 its reverse (2862021), we get a palindrome (14888841).

The spelling of 12026820 in words is "twelve million, twenty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 907 1020 1105 1326 1814 2210 2652 2721 3315 3628 4420 4535 5442 6630 9070 10884 11791 13260 13605 15419 18140 23582 27210 30838 35373 46257 47164 54420 58955 61676 70746 77095 92514 117910 141492 154190 176865 185028 200447 231285 235820 308380 353730 400894 462570 601341 707460 801788 925140 1002235 1202682 2004470 2405364 3006705 4008940 6013410 12026820