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12468040 = 2351323977
BaseRepresentation
bin101111100011…
…111101001000
3212110102221021
4233203331020
511142434130
61123122224
7210655654
oct57437510
925412837
1012468040
117046472
124213374
132777050
141927a64
15116437a
hexbe3f48

12468040 has 32 divisors (see below), whose sum is σ = 30212280. Its totient is φ = 4603392.

The previous prime is 12468037. The next prime is 12468067. The reversal of 12468040 is 4086421.

It can be written as a sum of positive squares in 4 ways, for example, as 7387524 + 5080516 = 2718^2 + 2254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12467996 and 12468014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11469 + ... + 12508.

Almost surely, 212468040 is an apocalyptic number.

12468040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12468040 is an abundant number, since it is smaller than the sum of its proper divisors (17744240).

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

12468040 is a wasteful number, since it uses less digits than its factorization.

12468040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24001 (or 23997 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 12468040 is about 3531.0111866150. The cubic root of 12468040 is about 231.8814792958.

It can be divided in two parts, 1 and 2468040, that added together give a square (2468041 = 15712).

The spelling of 12468040 in words is "twelve million, four hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 23977 47954 95908 119885 191816 239770 311701 479540 623402 959080 1246804 1558505 2493608 3117010 6234020 12468040