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12271056 = 243759619
BaseRepresentation
bin101110110011…
…110111010000
3212002102201120
4232303313100
511120133211
61115002240
7206205450
oct56636720
925072646
1012271056
116a21476
124139380
1327084a5
1418b5d60
151125d06
hexbb3dd0

12271056 has 80 divisors (see below), whose sum is σ = 36902400. Its totient is φ = 3441024.

The previous prime is 12271027. The next prime is 12271069. The reversal of 12271056 is 65017221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19515 + ... + 20133.

It is an arithmetic number, because the mean of its divisors is an integer number (461280).

Almost surely, 212271056 is an apocalyptic number.

12271056 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 12271056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451200).

12271056 is an abundant number, since it is smaller than the sum of its proper divisors (24631344).

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

12271056 is a wasteful number, since it uses less digits than its factorization.

12271056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 12271056 is about 3503.0067085291. The cubic root of 12271056 is about 230.6538170232.

Adding to 12271056 its reverse (65017221), we get a palindrome (77288277).

The spelling of 12271056 in words is "twelve million, two hundred seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 619 708 826 944 1238 1239 1416 1652 1857 2476 2478 2832 3304 3714 4333 4952 4956 6608 7428 8666 9904 9912 12999 14856 17332 19824 25998 29712 34664 36521 51996 69328 73042 103992 109563 146084 207984 219126 255647 292168 438252 511294 584336 766941 876504 1022588 1533882 1753008 2045176 3067764 4090352 6135528 12271056