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12277056 = 263115813
BaseRepresentation
bin101110110101…
…010101000000
3212002201221210
4232311111000
511120331211
61115050120
7206232111
oct56652500
925081853
1012277056
116a25a30
124140940
13270b13c
1418b8208
1511279a6
hexbb5540

12277056 has 56 divisors (see below), whose sum is σ = 35442144. Its totient is φ = 3719680.

The previous prime is 12277039. The next prime is 12277061. The reversal of 12277056 is 65077221.

It is a super-2 number, since 2×122770562 = 301452208054272, which contains 22 as substring.

It is a nialpdrome in base 16.

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 7 ways as a sum of consecutive naturals, for example, 795 + ... + 5018.

Almost surely, 212277056 is an apocalyptic number.

12277056 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 12277056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17721072).

12277056 is an abundant number, since it is smaller than the sum of its proper divisors (23165088).

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

12277056 is a wasteful number, since it uses less digits than its factorization.

12277056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 12277056 is about 3503.8630110208. The cubic root of 12277056 is about 230.6914040466.

The spelling of 12277056 in words is "twelve million, two hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 5813 11626 17439 23252 34878 46504 63943 69756 93008 127886 139512 186016 191829 255772 279024 372032 383658 511544 558048 767316 1023088 1116096 1534632 2046176 3069264 4092352 6138528 12277056