Search a number
-
+
26213136 = 2431015407
BaseRepresentation
bin110001111111…
…1101100010000
31211022202122220
41203333230100
523202310021
62333501040
7435544065
oct143775420
954282586
1026213136
1113884354
128941780
13557a441
1436a4c6c
15247bcc6
hex18ffb10

26213136 has 40 divisors (see below), whose sum is σ = 68400384. Its totient is φ = 8649600.

The previous prime is 26213119. The next prime is 26213137. The reversal of 26213136 is 63131262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26213137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2145 + ... + 7551.

Almost surely, 226213136 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 26213136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34200192).

26213136 is an abundant number, since it is smaller than the sum of its proper divisors (42187248).

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

26213136 is a wasteful number, since it uses less digits than its factorization.

26213136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5519 (or 5513 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 26213136 is about 5119.8765610120. The cubic root of 26213136 is about 297.0569107235.

Adding to 26213136 its reverse (63131262), we get a palindrome (89344398).

The spelling of 26213136 in words is "twenty-six million, two hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 5407 10814 16221 21628 32442 43256 64884 86512 129768 259536 546107 1092214 1638321 2184428 3276642 4368856 6553284 8737712 13106568 26213136