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12618640 = 245157733
BaseRepresentation
bin110000001000…
…101110010000
3212202002112001
4300020232100
511212244030
61130243344
7212154016
oct60105620
925662461
1012618640
117139631
124286554
1327ca768
1419668b6
151193cca
hexc08b90

12618640 has 20 divisors (see below), whose sum is σ = 29338524. Its totient is φ = 5047424.

The previous prime is 12618629. The next prime is 12618649. The reversal of 12618640 is 4681621.

It can be written as a sum of positive squares in 2 ways, for example, as 4393216 + 8225424 = 2096^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 12618599 and 12618608.

It is not an unprimeable number, because it can be changed into a prime (12618649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78787 + ... + 78946.

Almost surely, 212618640 is an apocalyptic number.

12618640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12618640 is an abundant number, since it is smaller than the sum of its proper divisors (16719884).

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

12618640 is a wasteful number, since it uses less digits than its factorization.

12618640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157746 (or 157740 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12618640 is about 3552.2725120689. The cubic root of 12618640 is about 232.8113683863.

The spelling of 12618640 in words is "twelve million, six hundred eighteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157733 315466 630932 788665 1261864 1577330 2523728 3154660 6309320 12618640