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12243060 = 22325174001
BaseRepresentation
bin101110101101…
…000001110100
3212001000022200
4232231001310
511113234220
61114224500
7206031024
oct56550164
925030280
1012243060
116a02435
124125130
1326c881b
1418a9a84
15111c890
hexbad074

12243060 has 72 divisors (see below), whose sum is σ = 39331656. Its totient is φ = 3072000.

The previous prime is 12243029. The next prime is 12243071. The reversal of 12243060 is 6034221.

It is a happy number.

12243060 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 381924 + 11861136 = 618^2 + 3444^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060 + ... + 5060.

It is an arithmetic number, because the mean of its divisors is an integer number (546273).

Almost surely, 212243060 is an apocalyptic number.

12243060 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 12243060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19665828).

12243060 is an abundant number, since it is smaller than the sum of its proper divisors (27088596).

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

12243060 is a wasteful number, since it uses less digits than its factorization.

12243060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12243060 is about 3499.0084309701. The cubic root of 12243060 is about 230.4782738246.

Adding to 12243060 its reverse (6034221), we get a palindrome (18277281).

The spelling of 12243060 in words is "twelve million, two hundred forty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4001 8002 12003 16004 20005 24006 36009 40010 48012 60015 68017 72018 80020 120030 136034 144036 180045 204051 240060 272068 340085 360090 408102 612153 680170 720180 816204 1020255 1224306 1360340 2040510 2448612 3060765 4081020 6121530 12243060