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3133056 = 27341199
BaseRepresentation
bin1011111100111010000000
312220011202010
423330322000
51300224211
6151052520
735426163
oct13747200
95804663
103133056
11184aa03
121071140
138590a4
145b7ada
1541d4a6
hex2fce80

3133056 has 64 divisors (see below), whose sum is σ = 8568000. Its totient is φ = 1013760.

The previous prime is 3133033. The next prime is 3133057. The reversal of 3133056 is 6503313.

3133056 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 (64).

It is not an unprimeable number, because it can be changed into a prime (3133057) by changing a digit.

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, 15645 + ... + 15843.

It is an arithmetic number, because the mean of its divisors is an integer number (133875).

Almost surely, 23133056 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 3133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284000).

3133056 is an abundant number, since it is smaller than the sum of its proper divisors (5434944).

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

3133056 is a wasteful number, since it uses less digits than its factorization.

3133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 3133056 is about 1770.0440672480. The cubic root of 3133056 is about 146.3264105059.

Adding to 3133056 its reverse (6503313), we get a palindrome (9636369).

The spelling of 3133056 in words is "three million, one hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 199 246 328 384 398 492 597 656 796 984 1194 1312 1592 1968 2388 2624 3184 3936 4776 5248 6368 7872 8159 9552 12736 15744 16318 19104 24477 25472 32636 38208 48954 65272 76416 97908 130544 195816 261088 391632 522176 783264 1044352 1566528 3133056