Search a number
-
+
12740464 = 2411191379
BaseRepresentation
bin110000100110…
…011101110000
3212222021122001
4300212131300
511230143324
61133023344
7213202132
oct60463560
925867561
1012740464
117212110
124324b54
132841049
141999052
1511b9e44
hexc26770

12740464 has 40 divisors (see below), whose sum is σ = 27141120. Its totient is φ = 5745600.

The previous prime is 12740461. The next prime is 12740467. The reversal of 12740464 is 46404721.

It is an interprime number because it is at equal distance from previous prime (12740461) and next prime (12740467).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12740461) 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, 33427 + ... + 33805.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 212740464 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 12740464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570560).

12740464 is an abundant number, since it is smaller than the sum of its proper divisors (14400656).

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

12740464 is a wasteful number, since it uses less digits than its factorization.

12740464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 12740464 is about 3569.3786574136. The cubic root of 12740464 is about 233.5581796343.

The spelling of 12740464 in words is "twelve million, seven hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 191 379 382 758 764 1516 1528 2101 3032 3056 4169 4202 6064 8338 8404 16676 16808 33352 33616 66704 72389 144778 289556 579112 796279 1158224 1592558 3185116 6370232 12740464