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12617216 = 29191297
BaseRepresentation
bin110000001000…
…011000000000
3212202000120022
4300020120000
511212222331
61130233012
7212146613
oct60103000
925660508
1012617216
117138557
124285768
1327c9c11
14196617a
15119367b
hexc08600

12617216 has 40 divisors (see below), whose sum is σ = 26557080. Its totient is φ = 5971968.

The previous prime is 12617203. The next prime is 12617219. The reversal of 12617216 is 61271621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12617219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9080 + ... + 10376.

It is an arithmetic number, because the mean of its divisors is an integer number (663927).

Almost surely, 212617216 is an apocalyptic number.

12617216 is a gapful number since it is divisible by the number (16) 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 12617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278540).

12617216 is an abundant number, since it is smaller than the sum of its proper divisors (13939864).

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

12617216 is an equidigital number, since it uses as much as digits as its factorization.

12617216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1318 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 12617216 is about 3552.0720713409. The cubic root of 12617216 is about 232.8026105524.

Adding to 12617216 its reverse (61271621), we get a palindrome (73888837).

It can be divided in two parts, 12617 and 216, that multiplied together give a palindrome (2725272).

The spelling of 12617216 in words is "twelve million, six hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 1297 2432 2594 4864 5188 9728 10376 20752 24643 41504 49286 83008 98572 166016 197144 332032 394288 664064 788576 1577152 3154304 6308608 12617216