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12106836 = 22327107449
BaseRepresentation
bin101110001011…
…110001010100
3211210002110100
4232023301110
511044404321
61111254100
7204622620
oct56136124
924702410
1012106836
11691a055
12407a330
13267b811
141872180
1510e2326
hexb8bc54

12106836 has 72 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 3419136.

The previous prime is 12106823. The next prime is 12106837. The reversal of 12106836 is 63860121.

12106836 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26740 + ... + 27188.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 212106836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12106836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

12106836 is an abundant number, since it is smaller than the sum of its proper divisors (23273964).

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

12106836 is a wasteful number, since it uses less digits than its factorization.

12106836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12106836 is about 3479.4878933544. The cubic root of 12106836 is about 229.6202681748.

Adding to 12106836 its reverse (63860121), we get a palindrome (75966957).

It can be divided in two parts, 121068 and 36, that added together give a square (121104 = 3482).

The spelling of 12106836 in words is "twelve million, one hundred six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 449 642 749 898 963 1284 1347 1498 1796 1926 2247 2694 2996 3143 3852 4041 4494 5388 6286 6741 8082 8988 9429 12572 13482 16164 18858 26964 28287 37716 48043 56574 96086 113148 144129 192172 288258 336301 432387 576516 672602 864774 1008903 1345204 1729548 2017806 3026709 4035612 6053418 12106836