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12663540 = 223457817
BaseRepresentation
bin110000010011…
…101011110100
3212211101010000
4300103223310
511220213130
61131231300
7212431641
oct60235364
925741100
1012663540
11716a33a
1242a8530
132815026
141978dc8
1511a2260
hexc13af4

12663540 has 60 divisors (see below), whose sum is σ = 39731076. Its totient is φ = 3376512.

The previous prime is 12663493. The next prime is 12663569. The reversal of 12663540 is 4536621.

12663540 is a `hidden beast` number, since 1 + 26 + 635 + 4 + 0 = 666.

12663540 is digitally balanced in base 2, because in such base 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 1454436 + 11209104 = 1206^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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, 2289 + ... + 5528.

Almost surely, 212663540 is an apocalyptic number.

12663540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12663540 is an abundant number, since it is smaller than the sum of its proper divisors (27067536).

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

12663540 is a wasteful number, since it uses less digits than its factorization.

12663540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7838 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 12663540 is about 3558.5867981546. The cubic root of 12663540 is about 233.0871735065.

It can be divided in two parts, 12663 and 540, that added together give a triangular number (13203 = T162).

The spelling of 12663540 in words is "twelve million, six hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7817 15634 23451 31268 39085 46902 70353 78170 93804 117255 140706 156340 211059 234510 281412 351765 422118 469020 633177 703530 844236 1055295 1266354 1407060 2110590 2532708 3165885 4221180 6331770 12663540