Search a number
-
+
26660656 = 2411247293
BaseRepresentation
bin110010110110…
…0111100110000
31212011111112201
41211230330300
523311120111
62351232544
7442416601
oct145547460
955144481
1026660656
111405a600
128b18754
1356a6049
14377dda8
1525196c1
hex196cf30

26660656 has 60 divisors (see below), whose sum is σ = 58183776. Its totient is φ = 11820160.

The previous prime is 26660653. The next prime is 26660671. The reversal of 26660656 is 65606662.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (26660653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90846 + ... + 91138.

Almost surely, 226660656 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 26660656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29091888).

26660656 is an abundant number, since it is smaller than the sum of its proper divisors (31523120).

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

26660656 is a wasteful number, since it uses less digits than its factorization.

26660656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 26660656 is about 5163.3957818474. The cubic root of 26660656 is about 298.7378678920.

It can be divided in two parts, 266606 and 56, that added together give a palindrome (266662).

The spelling of 26660656 in words is "twenty-six million, six hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 121 176 188 242 293 376 484 517 586 752 968 1034 1172 1936 2068 2344 3223 4136 4688 5687 6446 8272 11374 12892 13771 22748 25784 27542 35453 45496 51568 55084 70906 90992 110168 141812 151481 220336 283624 302962 567248 605924 1211848 1666291 2423696 3332582 6665164 13330328 26660656