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13716252 = 223211191823
BaseRepresentation
bin110100010100…
…101100011100
3221210212011100
4310110230130
512002410002
61205553100
7224405034
oct64245434
927725140
1013716252
117819250
124715790
132ac3234
141b708c4
15130e11c
hexd14b1c

13716252 has 72 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 3935520.

The previous prime is 13716251. The next prime is 13716253. The reversal of 13716252 is 25261731.

It is a happy number.

13716252 is a `hidden beast` number, since 1 + 37 + 1 + 625 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13716251) and next prime (13716253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13716251) 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 23 ways as a sum of consecutive naturals, for example, 6613 + ... + 8435.

It is an arithmetic number, because the mean of its divisors is an integer number (553280).

Almost surely, 213716252 is an apocalyptic number.

13716252 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 13716252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

13716252 is an abundant number, since it is smaller than the sum of its proper divisors (26119908).

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

13716252 is a wasteful number, since it uses less digits than its factorization.

13716252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1858 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 13716252 is about 3703.5458684887. The cubic root of 13716252 is about 239.3748312642.

Adding to 13716252 its reverse (25261731), we get a palindrome (38977983).

The spelling of 13716252 in words is "thirteen million, seven hundred sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1823 1881 2508 3646 3762 5469 7292 7524 10938 16407 20053 21876 32814 34637 40106 60159 65628 69274 80212 103911 120318 138548 180477 207822 240636 311733 360954 381007 415644 623466 721908 762014 1143021 1246932 1524028 2286042 3429063 4572084 6858126 13716252