Search a number
-
+
26230410 = 2325377877
BaseRepresentation
bin110010000001…
…1111010001010
31211100122100200
41210003322022
523203333120
62334113030
7435645333
oct144037212
954318320
1026230410
1113896328
12894b776
13558526b
1436ab28a
152481e90
hex1903e8a

26230410 has 48 divisors (see below), whose sum is σ = 70051176. Its totient is φ = 6804864.

The previous prime is 26230403. The next prime is 26230411. The reversal of 26230410 is 1403262.

It is a happy number.

26230410 is a `hidden beast` number, since 2 + 623 + 0 + 41 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21706281 + 4524129 = 4659^2 + 2127^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26230411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609 + ... + 7268.

Almost surely, 226230410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26230410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35025588).

26230410 is an abundant number, since it is smaller than the sum of its proper divisors (43820766).

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

26230410 is a wasteful number, since it uses less digits than its factorization.

26230410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 26230410 is about 5121.5632379187. The cubic root of 26230410 is about 297.1221481720.

Adding to 26230410 its reverse (1403262), we get a palindrome (27633672).

The spelling of 26230410 in words is "twenty-six million, two hundred thirty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 7877 15754 23631 39385 47262 70893 78770 118155 141786 236310 291449 354465 582898 708930 874347 1457245 1748694 2623041 2914490 4371735 5246082 8743470 13115205 26230410