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12756216 = 23311211229
BaseRepresentation
bin110000101010…
…010011111000
3220000002020110
4300222103320
511231144331
61133224320
7213266064
oct60522370
926002213
1012756216
117222a30
1243320a0
132848275
1419a0aa4
1511be946
hexc2a4f8

12756216 has 64 divisors (see below), whose sum is σ = 35107200. Its totient is φ = 3830400.

The previous prime is 12756203. The next prime is 12756229. The reversal of 12756216 is 61265721.

It is an interprime number because it is at equal distance from previous prime (12756203) and next prime (12756229).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55590 + ... + 55818.

It is an arithmetic number, because the mean of its divisors is an integer number (548550).

Almost surely, 212756216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12756216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17553600).

12756216 is an abundant number, since it is smaller than the sum of its proper divisors (22350984).

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

12756216 is a wasteful number, since it uses less digits than its factorization.

12756216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 456 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 12756216 is about 3571.5845223094. The cubic root of 12756216 is about 233.6543952110.

The spelling of 12756216 in words is "twelve million, seven hundred fifty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 211 229 264 422 458 633 687 844 916 1266 1374 1688 1832 2321 2519 2532 2748 4642 5038 5064 5496 6963 7557 9284 10076 13926 15114 18568 20152 27852 30228 48319 55704 60456 96638 144957 193276 289914 386552 531509 579828 1063018 1159656 1594527 2126036 3189054 4252072 6378108 12756216