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26130114 = 2341011597
BaseRepresentation
bin110001110101…
…1011011000010
31211011112210000
41203223123002
523142130424
62332020430
7435050043
oct143533302
954145700
1026130114
1113827a3a
128901716
13554b70a
1436828ca
1524623c9
hex18eb6c2

26130114 has 40 divisors (see below), whose sum is σ = 59167548. Its totient is φ = 8618400.

The previous prime is 26130107. The next prime is 26130121. The reversal of 26130114 is 41103162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26130107) and next prime (26130121).

It can be written as a sum of positive squares in 2 ways, for example, as 25674489 + 455625 = 5067^2 + 675^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 15564 + ... + 17160.

Almost surely, 226130114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26130114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29583774).

26130114 is an abundant number, since it is smaller than the sum of its proper divisors (33037434).

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

26130114 is a wasteful number, since it uses less digits than its factorization.

26130114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1703 counting only the distinct ones).

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

The square root of 26130114 is about 5111.7623184182. The cubic root of 26130114 is about 296.7429670905.

Adding to 26130114 its reverse (41103162), we get a palindrome (67233276).

It can be divided in two parts, 26130 and 114, that added together give a square (26244 = 1622).

The spelling of 26130114 in words is "twenty-six million, one hundred thirty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1597 1818 2727 3194 4791 5454 8181 9582 14373 16362 28746 43119 86238 129357 161297 258714 322594 483891 967782 1451673 2903346 4355019 8710038 13065057 26130114