Search a number
-
+
12356036 = 2272112521
BaseRepresentation
bin101111001000…
…100111000100
3212020202021222
4233020213010
511130343121
61120455512
7210011300
oct57104704
925222258
1012356036
116a7a300
12417a598
132738084
1418d8d00
1511410ab
hexbc89c4

12356036 has 54 divisors (see below), whose sum is σ = 27700974. Its totient is φ = 4804800.

The previous prime is 12356033. The next prime is 12356041. The reversal of 12356036 is 63065321.

12356036 = T365 + T366 + ... + T496.

It can be written as a sum of positive squares in only one way, i.e., 9486400 + 2869636 = 3080^2 + 1694^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12355996 and 12356014.

It is not an unprimeable number, because it can be changed into a prime (12356033) 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 17 ways as a sum of consecutive naturals, for example, 23456 + ... + 23976.

It is an arithmetic number, because the mean of its divisors is an integer number (512981).

Almost surely, 212356036 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 12356036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13850487).

12356036 is an abundant number, since it is smaller than the sum of its proper divisors (15344938).

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

12356036 is a wasteful number, since it uses less digits than its factorization.

12356036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 12356036 is about 3515.1153608381. The cubic root of 12356036 is about 231.1850369263.

The spelling of 12356036 in words is "twelve million, three hundred fifty-six thousand, thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 521 539 847 1042 1078 1694 2084 2156 3388 3647 5731 5929 7294 11462 11858 14588 22924 23716 25529 40117 51058 63041 80234 102116 126082 160468 252164 280819 441287 561638 882574 1123276 1765148 3089009 6178018 12356036