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7056 = 243272
BaseRepresentation
bin1101110010000
3100200100
41232100
5211211
652400
726400
oct15620
910610
107056
115335
124100
13329a
142800
152156
hex1b90

7056 has 45 divisors (see below), whose sum is σ = 22971. Its totient is φ = 2016.

The previous prime is 7043. The next prime is 7057. The reversal of 7056 is 6507.

7056 = T8 + T9 + ... + T34.

The square root of 7056 is 84.

It is a perfect power (a square), and thus also a powerful number.

7056 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (7057) by changing a digit.

7056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1005 + ... + 1011.

27056 is an apocalyptic number.

7056 is the 84-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7056

7056 is an abundant number, since it is smaller than the sum of its proper divisors (15915).

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

7056 is a wasteful number, since it uses less digits than its factorization.

7056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The cubic root of 7056 is about 19.1801878966.

The spelling of 7056 in words is "seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056