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26964 = 22327107
BaseRepresentation
bin110100101010100
31100222200
412211110
51330324
6324500
7141420
oct64524
940880
1026964
1119293
1213730
13c372
149b80
157ec9
hex6954

26964 has 36 divisors (see below), whose sum is σ = 78624. Its totient is φ = 7632.

The previous prime is 26959. The next prime is 26981. The reversal of 26964 is 46962.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

226964 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 26964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312).

26964 is an abundant number, since it is smaller than the sum of its proper divisors (51660).

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

26964 is a wasteful number, since it uses less digits than its factorization.

26964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 26964 is about 164.2071862008. The cubic root of 26964 is about 29.9866607363.

It can be divided in two parts, 269 and 64, that added together give a palindrome (333).

The spelling of 26964 in words is "twenty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1926 2247 2996 3852 4494 6741 8988 13482 26964