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12144460 = 22517231553
BaseRepresentation
bin101110010100…
…111101001100
3211212000001211
4232110331030
511102110320
61112144204
7205140406
oct56247514
924760054
1012144460
116945349
124098064
132692993
141881b76
1510ed55a
hexb94f4c

12144460 has 48 divisors (see below), whose sum is σ = 28195776. Its totient is φ = 4370432.

The previous prime is 12144413. The next prime is 12144463. The reversal of 12144460 is 6444121.

It is not an unprimeable number, because it can be changed into a prime (12144463) 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 15 ways as a sum of consecutive naturals, for example, 7044 + ... + 8596.

It is an arithmetic number, because the mean of its divisors is an integer number (587412).

Almost surely, 212144460 is an apocalyptic number.

12144460 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 12144460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14097888).

12144460 is an abundant number, since it is smaller than the sum of its proper divisors (16051316).

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

12144460 is a wasteful number, since it uses less digits than its factorization.

12144460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 12144460 is about 3484.8902421741. The cubic root of 12144460 is about 229.8578832188.

Adding to 12144460 its reverse (6444121), we get a palindrome (18588581).

The spelling of 12144460 in words is "twelve million, one hundred forty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1553 1564 1955 3106 3910 6212 7765 7820 15530 26401 31060 35719 52802 71438 105604 132005 142876 178595 264010 357190 528020 607223 714380 1214446 2428892 3036115 6072230 12144460