Search a number
-
+
204652580 = 225117312743
BaseRepresentation
bin11000011001011…
…00000000100100
3112021002102120012
430030230000210
5404342340310
632150225352
75033342516
oct1414540044
9467072505
10204652580
11a5580570
1258655258
1333525c02
141d273bb6
1512e77c05
hexc32c024

204652580 has 48 divisors (see below), whose sum is σ = 475300224. Its totient is φ = 73393920.

The previous prime is 204652577. The next prime is 204652631. The reversal of 204652580 is 85256402.

204652580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9689 + ... + 22431.

It is an arithmetic number, because the mean of its divisors is an integer number (9902088).

Almost surely, 2204652580 is an apocalyptic number.

204652580 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 204652580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237650112).

204652580 is an abundant number, since it is smaller than the sum of its proper divisors (270647644).

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

204652580 is a wasteful number, since it uses less digits than its factorization.

204652580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12836 (or 12834 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 204652580 is about 14305.6834859436. The cubic root of 204652580 is about 589.3035735617.

The spelling of 204652580 in words is "two hundred four million, six hundred fifty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 12743 16060 25486 50972 63715 127430 140173 254860 280346 560692 700865 930239 1401730 1860478 2803460 3720956 4651195 9302390 10232629 18604780 20465258 40930516 51163145 102326290 204652580