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6456 = 233269
BaseRepresentation
bin1100100111000
322212010
41210320
5201311
645520
724552
oct14470
98763
106456
11493a
1238a0
132c28
1424d2
151da6
hex1938

6456 has 16 divisors (see below), whose sum is σ = 16200. Its totient is φ = 2144.

The previous prime is 6451. The next prime is 6469. The reversal of 6456 is 6546.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6451) by changing a digit.

6456 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 3 ways as a sum of consecutive naturals, for example, 111 + ... + 158.

It is an amenable number.

6456 is an abundant number, since it is smaller than the sum of its proper divisors (9744).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8100).

6456 is a wasteful number, since it uses less digits than its factorization.

6456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 6456 is about 80.3492377064. The cubic root of 6456 is about 18.6203500246.

It can be divided in two parts, 64 and 56, that added together give a triangular number (120 = T15).

The spelling of 6456 in words is "six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 269 538 807 1076 1614 2152 3228 6456