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12270976 = 27372591
BaseRepresentation
bin101110110011…
…110110000000
3212002102121121
4232303312000
511120132401
61115002024
7206205304
oct56636600
925072547
1012270976
116a21403
124139314
132708443
1418b5d04
151125ca1
hexbb3d80

12270976 has 32 divisors (see below), whose sum is σ = 25116480. Its totient is φ = 5967360.

The previous prime is 12270971. The next prime is 12271003. The reversal of 12270976 is 67907221.

12270976 is nontrivially palindromic in base 12.

12270976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12270971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3441 + ... + 6031.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 212270976 is an apocalyptic number.

12270976 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 12270976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558240).

12270976 is an abundant number, since it is smaller than the sum of its proper divisors (12845504).

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

12270976 is an equidigital number, since it uses as much as digits as its factorization.

12270976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 12270976 is about 3502.9952897485. The cubic root of 12270976 is about 230.6533157802.

The spelling of 12270976 in words is "twelve million, two hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 2591 4736 5182 10364 20728 41456 82912 95867 165824 191734 331648 383468 766936 1533872 3067744 6135488 12270976