Search a number
-
+
26066106 = 23211472801
BaseRepresentation
bin110001101101…
…1110010111010
31211001021222100
41203123302322
523133103411
62330404230
7434362323
oct143336272
954037870
1026066106
1113793940
128890676
135528541
14366744a
15244d456
hex18dbcba

26066106 has 48 divisors (see below), whose sum is σ = 62944128. Its totient is φ = 7728000.

The previous prime is 26066101. The next prime is 26066113. The reversal of 26066106 is 60166062.

It is a self number, because there is not a number n which added to its sum of digits gives 26066106.

It is not an unprimeable number, because it can be changed into a prime (26066101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7906 + ... + 10706.

It is an arithmetic number, because the mean of its divisors is an integer number (1311336).

Almost surely, 226066106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26066106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31472064).

26066106 is an abundant number, since it is smaller than the sum of its proper divisors (36878022).

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

26066106 is a wasteful number, since it uses less digits than its factorization.

26066106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 26066106 is about 5105.4976251096. The cubic root of 26066106 is about 296.5004696911.

It can be divided in two parts, 260 and 66106, that added together give a palindrome (66366).

The spelling of 26066106 in words is "twenty-six million, sixty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 2801 3102 4653 5602 8403 9306 16806 25209 30811 50418 61622 92433 131647 184866 263294 277299 394941 554598 789882 1184823 1448117 2369646 2896234 4344351 8688702 13033053 26066106