Search a number
-
+
12642364 = 2272367293
BaseRepresentation
bin110000001110…
…100000111100
3212210022001201
4300032200330
511214023424
61130545244
7212313130
oct60164074
925708051
1012642364
117155439
124298224
1328084b7
1419713c0
15119ad44
hexc0e83c

12642364 has 48 divisors (see below), whose sum is σ = 26869248. Its totient is φ = 5087808.

The previous prime is 12642337. The next prime is 12642367. The reversal of 12642364 is 46324621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43002 + ... + 43294.

It is an arithmetic number, because the mean of its divisors is an integer number (559776).

Almost surely, 212642364 is an apocalyptic number.

12642364 is a gapful number since it is divisible by the number (14) 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 12642364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13434624).

12642364 is an abundant number, since it is smaller than the sum of its proper divisors (14226884).

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

12642364 is a wasteful number, since it uses less digits than its factorization.

12642364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 12642364 is about 3555.6102148576. The cubic root of 12642364 is about 232.9571780552.

Adding to 12642364 its reverse (46324621), we get a palindrome (58966985).

The spelling of 12642364 in words is "twelve million, six hundred forty-two thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 67 92 134 161 268 293 322 469 586 644 938 1172 1541 1876 2051 3082 4102 6164 6739 8204 10787 13478 19631 21574 26956 39262 43148 47173 78524 94346 137417 188692 274834 451513 549668 903026 1806052 3160591 6321182 12642364