Search a number
-
+
26060400 = 24335219127
BaseRepresentation
bin110001101101…
…0011001110000
31211001000011000
41203122121300
523132413100
62330322000
7434336562
oct143323160
954030130
1026060400
111378a623
128889300
135525a72
143665332
15244b900
hex18da670

26060400 has 240 divisors, whose sum is σ = 98406400. Its totient is φ = 6531840.

The previous prime is 26060389. The next prime is 26060401. The reversal of 26060400 is 406062.

26060400 is a `hidden beast` number, since 2 + 60 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (26060401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205137 + ... + 205263.

Almost surely, 226060400 is an apocalyptic number.

26060400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49203200).

26060400 is an abundant number, since it is smaller than the sum of its proper divisors (72346000).

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

26060400 is a wasteful number, since it uses less digits than its factorization.

26060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

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

The square root of 26060400 is about 5104.9387851374. The cubic root of 26060400 is about 296.4788329707.

Adding to 26060400 its reverse (406062), we get a palindrome (26466462).

The spelling of 26060400 in words is "twenty-six million, sixty thousand, four hundred".