Search a number
-
+
204955460 = 22514968777
BaseRepresentation
bin11000011011101…
…01111101000100
3112021122211000222
430031311331010
5404432033320
632200523512
75036043533
oct1415657504
9467584028
10204955460
11a5768086
1258780598
1333600a28
141d31231a
1512ed7825
hexc375f44

204955460 has 24 divisors (see below), whose sum is σ = 433301400. Its totient is φ = 81430784.

The previous prime is 204955459. The next prime is 204955463. The reversal of 204955460 is 64559402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8282884 + 196672576 = 2878^2 + 14024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204955460.

It is not an unprimeable number, because it can be changed into a prime (204955463) 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, 31409 + ... + 37368.

It is an arithmetic number, because the mean of its divisors is an integer number (18054225).

Almost surely, 2204955460 is an apocalyptic number.

204955460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204955460 is an abundant number, since it is smaller than the sum of its proper divisors (228345940).

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

204955460 is a wasteful number, since it uses less digits than its factorization.

204955460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68935 (or 68933 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 204955460 is about 14316.2655745135. The cubic root of 204955460 is about 589.5941477731.

The spelling of 204955460 in words is "two hundred four million, nine hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 68777 137554 275108 343885 687770 1375540 10247773 20495546 40991092 51238865 102477730 204955460