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12113536 = 27101937
BaseRepresentation
bin101110001101…
…011010000000
3211210102122111
4232031122000
511100113121
61111345104
7204651301
oct56153200
924712574
1012113536
116924096
124082194
132681896
1418747a8
1510e42e1
hexb8d680

12113536 has 32 divisors (see below), whose sum is σ = 24397380. Its totient is φ = 5990400.

The previous prime is 12113527. The next prime is 12113539. The reversal of 12113536 is 63531121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 3136 = 3480^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (12113539) 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, 12460 + ... + 13396.

Almost surely, 212113536 is an apocalyptic number.

12113536 is a gapful number since it is divisible by the number (16) 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 12113536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12198690).

12113536 is an abundant number, since it is smaller than the sum of its proper divisors (12283844).

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

12113536 is an equidigital number, since it uses as much as digits as its factorization.

12113536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1040 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 12113536 is about 3480.4505455472. The cubic root of 12113536 is about 229.6626181355.

Adding to 12113536 its reverse (63531121), we get a palindrome (75644657).

The spelling of 12113536 in words is "twelve million, one hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 937 1616 1874 3232 3748 6464 7496 12928 14992 29984 59968 94637 119936 189274 378548 757096 1514192 3028384 6056768 12113536