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26016 = 253271
BaseRepresentation
bin110010110100000
31022200120
412112200
51313031
6320240
7135564
oct62640
938616
1026016
1118601
1213080
13bac3
1496a4
157a96
hex65a0

26016 has 24 divisors (see below), whose sum is σ = 68544. Its totient is φ = 8640.

The previous prime is 26003. The next prime is 26017. The reversal of 26016 is 61062.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 25986 and 26004.

It is not an unprimeable number, because it can be changed into a prime (26017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40 + ... + 231.

It is an arithmetic number, because the mean of its divisors is an integer number (2856).

226016 is an apocalyptic number.

It is an amenable number.

26016 is an abundant number, since it is smaller than the sum of its proper divisors (42528).

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 (34272).

26016 is a wasteful number, since it uses less digits than its factorization.

26016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 26016 is about 161.2947612292. The cubic root of 26016 is about 29.6310363530.

Adding to 26016 its reverse (61062), we get a palindrome (87078).

It can be divided in two parts, 260 and 16, that added together give a triangular number (276 = T23).

The spelling of 26016 in words is "twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 813 1084 1626 2168 3252 4336 6504 8672 13008 26016