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26960 = 245337
BaseRepresentation
bin110100101010000
31100222112
412211100
51330320
6324452
7141413
oct64520
940875
1026960
111928a
1213728
13c36b
149b7a
157ec5
hex6950

26960 has 20 divisors (see below), whose sum is σ = 62868. Its totient is φ = 10752.

The previous prime is 26959. The next prime is 26981. The reversal of 26960 is 6962.

26960 = T24 + T25 + ... + T55.

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 18496 = 92^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an Ulam number.

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, 89 + ... + 248.

226960 is an apocalyptic number.

26960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26960 is an abundant number, since it is smaller than the sum of its proper divisors (35908).

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 (31434).

26960 is a wasteful number, since it uses less digits than its factorization.

26960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 26960 is about 164.1950060142. The cubic root of 26960 is about 29.9851778632.

The spelling of 26960 in words is "twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 337 674 1348 1685 2696 3370 5392 6740 13480 26960