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26102106 = 23217197433
BaseRepresentation
bin110001110010…
…0100101011010
31211010010100200
41203210211122
523140231411
62331243030
7434602302
oct143444532
954103320
1026102106
1113808998
1288a9476
13553ba44
143676602
152458e56
hex18e495a

26102106 has 48 divisors (see below), whose sum is σ = 60324264. Its totient is φ = 8128512.

The previous prime is 26102101. The next prime is 26102159. The reversal of 26102106 is 60120162.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25553025 + 549081 = 5055^2 + 741^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (26102101) 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, 60066 + ... + 60498.

Almost surely, 226102106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26102106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30162132).

26102106 is an abundant number, since it is smaller than the sum of its proper divisors (34222158).

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

26102106 is a wasteful number, since it uses less digits than its factorization.

26102106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 26102106 is about 5109.0220199173. The cubic root of 26102106 is about 296.6369062152.

Adding to 26102106 its reverse (60120162), we get a palindrome (86222268).

The spelling of 26102106 in words is "twenty-six million, one hundred two thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 197 306 394 433 591 866 1182 1299 1773 2598 3349 3546 3897 6698 7361 7794 10047 14722 20094 22083 30141 44166 60282 66249 85301 132498 170602 255903 511806 767709 1450117 1535418 2900234 4350351 8700702 13051053 26102106