Search a number
-
+
26201400 = 2335243669
BaseRepresentation
bin110001111110…
…0110100111000
31211022011120020
41203330310320
523201421100
62333330440
7435464631
oct143746470
954264506
1026201400
1113876555
128936a20
135574cb4
1436a0888
1524785a0
hex18fcd38

26201400 has 48 divisors (see below), whose sum is σ = 81226200. Its totient is φ = 6986880.

The previous prime is 26201389. The next prime is 26201401. The reversal of 26201400 is 410262.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 26201400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26201401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21235 + ... + 22434.

Almost surely, 226201400 is an apocalyptic number.

26201400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26201400 is an abundant number, since it is smaller than the sum of its proper divisors (55024800).

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

26201400 is a wasteful number, since it uses less digits than its factorization.

26201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43688 (or 43679 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 26201400 is about 5118.7303113174. The cubic root of 26201400 is about 297.0125718811.

Adding to 26201400 its reverse (410262), we get a palindrome (26611662).

The spelling of 26201400 in words is "twenty-six million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 43669 87338 131007 174676 218345 262014 349352 436690 524028 655035 873380 1048056 1091725 1310070 1746760 2183450 2620140 3275175 4366900 5240280 6550350 8733800 13100700 26201400