Search a number
-
+
204209680 = 2452552621
BaseRepresentation
bin11000010101111…
…11111000010000
3112020020221000111
430022333320100
5404234202210
632132531104
75026516333
oct1412777020
9466227014
10204209680
11a52a8834
1258480a94
13333cc43c
141d19a61a
1512ddb88a
hexc2bfe10

204209680 has 20 divisors (see below), whose sum is σ = 474787692. Its totient is φ = 81683840.

The previous prime is 204209569. The next prime is 204209693. The reversal of 204209680 is 86902402.

204209680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 87310336 + 116899344 = 9344^2 + 10812^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1276231 + ... + 1276390.

Almost surely, 2204209680 is an apocalyptic number.

204209680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204209680 is an abundant number, since it is smaller than the sum of its proper divisors (270578012).

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

204209680 is a wasteful number, since it uses less digits than its factorization.

204209680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552634 (or 2552628 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 204209680 is about 14290.1952400938. The cubic root of 204209680 is about 588.8781516706.

The spelling of 204209680 in words is "two hundred four million, two hundred nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2552621 5105242 10210484 12763105 20420968 25526210 40841936 51052420 102104840 204209680