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26730 = 235511
BaseRepresentation
bin110100001101010
31100200000
412201222
51323410
6323430
7140634
oct64152
940600
1026730
11190a0
1213576
13c222
149a54
157dc0
hex686a

26730 has 48 divisors (see below), whose sum is σ = 78624. Its totient is φ = 6480.

The previous prime is 26729. The next prime is 26731. The reversal of 26730 is 3762.

It is an interprime number because it is at equal distance from previous prime (26729) and next prime (26731).

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

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26731) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2425 + ... + 2435.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

226730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312).

26730 is an abundant number, since it is smaller than the sum of its proper divisors (51894).

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

26730 is a wasteful number, since it uses less digits than its factorization.

26730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 26730 is about 163.4931191213. The cubic root of 26730 is about 29.8996648024.

26730 divided by its sum of digits (18) gives a triangular number (1485 = T54).

The spelling of 26730 in words is "twenty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 810 891 990 1215 1485 1782 2430 2673 2970 4455 5346 8910 13365 26730