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10648 = 23113
BaseRepresentation
bin10100110011000
3112121101
42212120
5320043
6121144
743021
oct24630
915541
1010648
118000
1261b4
134b01
143c48
15324d
hex2998

10648 has 16 divisors (see below), whose sum is σ = 21960. Its totient is φ = 4840.

The previous prime is 10639. The next prime is 10651. The reversal of 10648 is 84601.

The cubic root of 10648 is 22.

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

It is a super-2 number, since 2×106482 = 226759808, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 963 + ... + 973.

210648 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 10648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10980).

10648 is an abundant number, since it is smaller than the sum of its proper divisors (11312).

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

10648 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (10647) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (39).

10648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10648 is about 103.1891467161.

The spelling of 10648 in words is "ten thousand, six hundred forty-eight".