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26220 = 22351923
BaseRepresentation
bin110011001101100
31022222010
412121230
51314340
6321220
7136305
oct63154
938863
1026220
1118777
1213210
13bc1c
1497ac
157b80
hex666c

26220 has 48 divisors (see below), whose sum is σ = 80640. Its totient is φ = 6336.

The previous prime is 26209. The next prime is 26227. The reversal of 26220 is 2262.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 26196 and 26205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

226220 is an apocalyptic number.

26220 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 26220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

26220 is an abundant number, since it is smaller than the sum of its proper divisors (54420).

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

26220 is a wasteful number, since it uses less digits than its factorization.

26220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 26220 is about 161.9259089831. The cubic root of 26220 is about 29.7082836919.

Adding to 26220 its reverse (2262), we get a palindrome (28482).

It can be divided in two parts, 262 and 20, that added together give a palindrome (282).

The spelling of 26220 in words is "twenty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 874 1140 1311 1380 1748 2185 2622 4370 5244 6555 8740 13110 26220