Search a number
-
+
12396768 = 253263491
BaseRepresentation
bin101111010010…
…100011100000
3212022211011120
4233102203200
511133144033
61121412240
7210241116
oct57224340
925284146
1012396768
116aa796a
12419a080
132750787
141909ab6
15114d1b3
hexbd28e0

12396768 has 48 divisors (see below), whose sum is σ = 32731776. Its totient is φ = 4108160.

The previous prime is 12396763. The next prime is 12396773. The reversal of 12396768 is 86769321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12396763) and next prime (12396773).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12396763) 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 7 ways as a sum of consecutive naturals, for example, 25003 + ... + 25493.

It is an arithmetic number, because the mean of its divisors is an integer number (681912).

Almost surely, 212396768 is an apocalyptic number.

It is an amenable number.

12396768 is an abundant number, since it is smaller than the sum of its proper divisors (20335008).

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

12396768 is a wasteful number, since it uses less digits than its factorization.

12396768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 12396768 is about 3520.9044292625. The cubic root of 12396768 is about 231.4387941573.

The spelling of 12396768 in words is "twelve million, three hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 263 491 526 789 982 1052 1473 1578 1964 2104 2946 3156 3928 4208 5892 6312 7856 8416 11784 12624 15712 23568 25248 47136 129133 258266 387399 516532 774798 1033064 1549596 2066128 3099192 4132256 6198384 12396768