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26136 = 2333112
BaseRepresentation
bin110011000011000
31022212000
412120120
51314021
6321000
7136125
oct63030
938760
1026136
1118700
1213160
13bb86
14974c
157b26
hex6618

26136 has 48 divisors (see below), whose sum is σ = 79800. Its totient is φ = 7920.

The previous prime is 26119. The next prime is 26141. The reversal of 26136 is 63162.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 6 and base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

26136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2371 + ... + 2381.

226136 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 26136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39900).

26136 is an abundant number, since it is smaller than the sum of its proper divisors (53664).

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

26136 is a wasteful number, since it uses less digits than its factorization.

26136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 16 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 26136 is about 161.6663230237. Note that the first 3 decimals coincide. The cubic root of 26136 is about 29.6765246595.

Multiplying 26136 by its product of digits (216), we get a square (5645376 = 23762).

26136 divided by its product of digits (216) gives a palindrome (121).

Adding to 26136 its reverse (63162), we get a palindrome (89298).

The spelling of 26136 in words is "twenty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 6534 8712 13068 26136