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12906020 = 225432349
BaseRepresentation
bin110001001110…
…111000100100
3220021200201202
4301032320210
511300443040
61140342032
7214461611
oct61167044
926250652
1012906020
117315536
1243a4918
13289b4ca
1419dd508
1511ee015
hexc4ee24

12906020 has 36 divisors (see below), whose sum is σ = 27827100. Its totient is φ = 5027904.

The previous prime is 12906017. The next prime is 12906029. The reversal of 12906020 is 2060921.

It can be written as a sum of positive squares in 2 ways, for example, as 7107556 + 5798464 = 2666^2 + 2408^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12905983 and 12906001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12906029) 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 11 ways as a sum of consecutive naturals, for example, 36806 + ... + 37154.

It is an arithmetic number, because the mean of its divisors is an integer number (772975).

Almost surely, 212906020 is an apocalyptic number.

12906020 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 12906020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13913550).

12906020 is an abundant number, since it is smaller than the sum of its proper divisors (14921080).

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

12906020 is a wasteful number, since it uses less digits than its factorization.

12906020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 12906020 is about 3592.4949547633. The cubic root of 12906020 is about 234.5654865046.

Adding to 12906020 its reverse (2060921), we get a palindrome (14966941).

The spelling of 12906020 in words is "twelve million, nine hundred six thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 349 430 698 860 1396 1745 1849 3490 3698 6980 7396 9245 15007 18490 30014 36980 60028 75035 150070 300140 645301 1290602 2581204 3226505 6453010 12906020