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12643020 = 22335131801
BaseRepresentation
bin110000001110…
…101011001100
3212210022222000
4300032223030
511214034040
61130552300
7212315055
oct60165314
925708860
1012643020
117155985
124298690
1328088a0
14197172c
15119b130
hexc0eacc

12643020 has 96 divisors (see below), whose sum is σ = 42383040. Its totient is φ = 3110400.

The previous prime is 12643003. The next prime is 12643021. The reversal of 12643020 is 2034621.

It is a happy number.

12643020 is a `hidden beast` number, since 1 + 2 + 643 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12642984 and 12643002.

It is not an unprimeable number, because it can be changed into a prime (12643021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6120 + ... + 7920.

It is an arithmetic number, because the mean of its divisors is an integer number (441490).

Almost surely, 212643020 is an apocalyptic number.

12643020 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 12643020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21191520).

12643020 is an abundant number, since it is smaller than the sum of its proper divisors (29740020).

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

12643020 is a wasteful number, since it uses less digits than its factorization.

12643020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12643020 is about 3555.7024622429. The cubic root of 12643020 is about 232.9612072928.

Adding to 12643020 its reverse (2034621), we get a palindrome (14677641).

The spelling of 12643020 in words is "twelve million, six hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 1801 2340 3510 3602 5403 7020 7204 9005 10806 16209 18010 21612 23413 27015 32418 36020 46826 48627 54030 64836 70239 81045 93652 97254 108060 117065 140478 162090 194508 210717 234130 243135 280956 324180 351195 421434 468260 486270 632151 702390 842868 972540 1053585 1264302 1404780 2107170 2528604 3160755 4214340 6321510 12643020