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26460 = 2233572
BaseRepresentation
bin110011101011100
31100022000
412131130
51321320
6322300
7140100
oct63534
940260
1026460
1118975
1213390
13c075
149900
157c90
hex675c

26460 has 72 divisors (see below), whose sum is σ = 95760. Its totient is φ = 6048.

The previous prime is 26459. The next prime is 26479. The reversal of 26460 is 6462.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a zygodrome in base 3 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26460.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3777 + ... + 3783.

It is an arithmetic number, because the mean of its divisors is an integer number (1330).

226460 is an apocalyptic number.

26460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880).

26460 is an abundant number, since it is smaller than the sum of its proper divisors (69300).

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

26460 is a wasteful number, since it uses less digits than its factorization.

26460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 26460 is about 162.6653005407. The cubic root of 26460 is about 29.7986516514.

It can be divided in two parts, 264 and 60, that added together give a square (324 = 182).

The spelling of 26460 in words is "twenty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 26460