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12713112 = 233423853
BaseRepresentation
bin110000011111…
…110010011000
3212220220010000
4300133302120
511223304422
61132253000
7213026316
oct60376230
925826100
1012713112
1171a3605
124311160
132831769
14198d0b6
1511b1cac
hexc1fc98

12713112 has 80 divisors (see below), whose sum is σ = 37200240. Its totient is φ = 4048704.

The previous prime is 12713087. The next prime is 12713119. The reversal of 12713112 is 21131721.

It is a happy number.

12713112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12713119) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14478 + ... + 15330.

It is an arithmetic number, because the mean of its divisors is an integer number (465003).

Almost surely, 212713112 is an apocalyptic number.

12713112 is a gapful number since it is divisible by the number (12) 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 12713112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600120).

12713112 is an abundant number, since it is smaller than the sum of its proper divisors (24487128).

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

12713112 is a wasteful number, since it uses less digits than its factorization.

12713112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 881 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 12713112 is about 3565.5451196135. The cubic root of 12713112 is about 233.3909209334.

Adding to 12713112 its reverse (21131721), we get a palindrome (33844833).

The spelling of 12713112 in words is "twelve million, seven hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 853 1242 1656 1706 1863 2484 2559 3412 3726 4968 5118 6824 7452 7677 10236 14904 15354 19619 20472 23031 30708 39238 46062 58857 61416 69093 78476 92124 117714 138186 156952 176571 184248 235428 276372 353142 470856 529713 552744 706284 1059426 1412568 1589139 2118852 3178278 4237704 6356556 12713112