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12443040 = 253258641
BaseRepresentation
bin101111011101…
…110110100000
3212102011122100
4233131312200
511141134130
61122410400
7210523041
oct57356640
925364570
1012443040
117029705
124200a00
13276885c
14191c8c8
15115bc60
hexbddda0

12443040 has 72 divisors (see below), whose sum is σ = 42466788. Its totient is φ = 3317760.

The previous prime is 12443029. The next prime is 12443047. The reversal of 12443040 is 4034421.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 1710864 = 3276^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12443047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2881 + ... + 5760.

Almost surely, 212443040 is an apocalyptic number.

12443040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12443040 is an abundant number, since it is smaller than the sum of its proper divisors (30023748).

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

12443040 is a wasteful number, since it uses less digits than its factorization.

12443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8662 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12443040 is about 3527.4693478470. The cubic root of 12443040 is about 231.7263916770.

Adding to 12443040 its reverse (4034421), we get a palindrome (16477461).

The spelling of 12443040 in words is "twelve million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8641 17282 25923 34564 43205 51846 69128 77769 86410 103692 129615 138256 155538 172820 207384 259230 276512 311076 345640 388845 414768 518460 622152 691280 777690 829536 1036920 1244304 1382560 1555380 2073840 2488608 3110760 4147680 6221520 12443040