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12396240 = 243451913
BaseRepresentation
bin101111010010…
…011011010000
3212022210110000
4233102123100
511133134430
61121410000
7210236433
oct57223320
925283400
1012396240
116aa752a
124199900
13275046c
14190981a
15114ce60
hexbd26d0

12396240 has 100 divisors (see below), whose sum is σ = 43076484. Its totient is φ = 3303936.

The previous prime is 12396239. The next prime is 12396259. The reversal of 12396240 is 4269321.

12396240 is a `hidden beast` number, since 1 + 2 + 39 + 624 + 0 = 666.

12396240 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 2 ways, for example, as 7884864 + 4511376 = 2808^2 + 2124^2 .

It is a super-2 number, since 2×123962402 = 307333532275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5524 + ... + 7436.

Almost surely, 212396240 is an apocalyptic number.

12396240 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 12396240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21538242).

12396240 is an abundant number, since it is smaller than the sum of its proper divisors (30680244).

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

12396240 is a wasteful number, since it uses less digits than its factorization.

12396240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12396240 is about 3520.8294477296. The cubic root of 12396240 is about 231.4355083165.

The spelling of 12396240 in words is "twelve million, three hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 1913 2160 3240 3826 5739 6480 7652 9565 11478 15304 17217 19130 22956 28695 30608 34434 38260 45912 51651 57390 68868 76520 86085 91824 103302 114780 137736 153040 154953 172170 206604 229560 258255 275472 309906 344340 413208 459120 516510 619812 688680 774765 826416 1033020 1239624 1377360 1549530 2066040 2479248 3099060 4132080 6198120 12396240