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26936 = 2371337
BaseRepresentation
bin110100100111000
31100221122
412210320
51330221
6324412
7141350
oct64470
940848
1026936
1119268
1213708
13c350
149b60
157eab
hex6938

26936 has 32 divisors (see below), whose sum is σ = 63840. Its totient is φ = 10368.

The previous prime is 26927. The next prime is 26947. The reversal of 26936 is 63962.

26936 = 592 + 602 + ... + 652.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 710 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (1995).

226936 is an apocalyptic number.

26936 is a gapful number since it is divisible by the number (26) 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 26936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31920).

26936 is an abundant number, since it is smaller than the sum of its proper divisors (36904).

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

26936 is a wasteful number, since it uses less digits than its factorization.

26936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 59 counting only the distinct ones).

The product of its digits is 1944, while the sum is 26.

The square root of 26936 is about 164.1219059114. The cubic root of 26936 is about 29.9762775427.

Adding to 26936 its sum of digits (26), we get a palindrome (26962).

Multiplying 26936 by its sum of digits (26), we get a triangular number (700336 = T1183).

It can be divided in two parts, 26 and 936, that multiplied together give a square (24336 = 1562).

The spelling of 26936 in words is "twenty-six thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 148 182 259 296 364 481 518 728 962 1036 1924 2072 3367 3848 6734 13468 26936