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12333040 = 245314973
BaseRepresentation
bin101111000010…
…111111110000
3212012120202021
4233002333300
511124124130
61120201224
7206554246
oct57027760
925176667
1012333040
116a63aa5
124169214
13272a775
1418d0796
15113937a
hexbc2ff0

12333040 has 40 divisors (see below), whose sum is σ = 29605248. Its totient is φ = 4773120.

The previous prime is 12333031. The next prime is 12333043. The reversal of 12333040 is 4033321.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12333043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 4966.

Almost surely, 212333040 is an apocalyptic number.

12333040 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 12333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14802624).

12333040 is an abundant number, since it is smaller than the sum of its proper divisors (17272208).

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

12333040 is a wasteful number, since it uses less digits than its factorization.

12333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 12333040 is about 3511.8428210841. The cubic root of 12333040 is about 231.0415272380.

Adding to 12333040 its reverse (4033321), we get a palindrome (16366361).

The spelling of 12333040 in words is "twelve million, three hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4973 9946 19892 24865 39784 49730 79568 99460 154163 198920 308326 397840 616652 770815 1233304 1541630 2466608 3083260 6166520 12333040