Search a number
-
+
12013890 = 2357193011
BaseRepresentation
bin101101110101…
…000101000010
3211121100221220
4231311011002
511033421030
61105255510
7204054630
oct55650502
924540856
1012013890
116866239
124034596
132648415
14184a350
1510c4a10
hexb75142

12013890 has 64 divisors (see below), whose sum is σ = 34698240. Its totient is φ = 2600640.

The previous prime is 12013877. The next prime is 12013891. The reversal of 12013890 is 9831021.

It is a self number, because there is not a number n which added to its sum of digits gives 12013890.

It is not an unprimeable number, because it can be changed into a prime (12013891) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2485 + ... + 5495.

It is an arithmetic number, because the mean of its divisors is an integer number (542160).

Almost surely, 212013890 is an apocalyptic number.

12013890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17349120).

12013890 is an abundant number, since it is smaller than the sum of its proper divisors (22684350).

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

12013890 is a wasteful number, since it uses less digits than its factorization.

12013890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 12013890 is about 3466.1058841299. The cubic root of 12013890 is about 229.0311482328.

The spelling of 12013890 in words is "twelve million, thirteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3011 3990 6022 9033 15055 18066 21077 30110 42154 45165 57209 63231 90330 105385 114418 126462 171627 210770 286045 316155 343254 400463 572090 632310 800926 858135 1201389 1716270 2002315 2402778 4004630 6006945 12013890