Search a number
-
+
12713204 = 22719231039
BaseRepresentation
bin110000011111…
…110011110100
3212220220020102
4300133303310
511223310304
61132253232
7213026510
oct60376364
925826212
1012713204
1171a3689
124311218
13283180a
14198d140
1511b1d1e
hexc1fcf4

12713204 has 48 divisors (see below), whose sum is σ = 27955200. Its totient is φ = 4932576.

The previous prime is 12713201. The next prime is 12713219. The reversal of 12713204 is 40231721.

12713204 = T302 + T303 + ... + T469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12713201) 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, 11717 + ... + 12755.

It is an arithmetic number, because the mean of its divisors is an integer number (582400).

Almost surely, 212713204 is an apocalyptic number.

12713204 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 12713204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977600).

12713204 is an abundant number, since it is smaller than the sum of its proper divisors (15241996).

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

12713204 is a wasteful number, since it uses less digits than its factorization.

12713204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 12713204 is about 3565.5580208433. The cubic root of 12713204 is about 233.3914839194.

Adding to 12713204 its reverse (40231721), we get a palindrome (52944925).

It can be divided in two parts, 127 and 13204, that added together give a palindrome (13331).

The spelling of 12713204 in words is "twelve million, seven hundred thirteen thousand, two hundred four".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 874 1039 1748 2078 3059 4156 6118 7273 12236 14546 19741 23897 29092 39482 47794 78964 95588 138187 167279 276374 334558 454043 552748 669116 908086 1816172 3178301 6356602 12713204