Search a number
-
+
204320600 = 23521128443
BaseRepresentation
bin11000010110110…
…10111101011000
3112020110120011122
430023122331120
5404301224400
632135144412
75030460611
oct1413327530
9466416148
10204320600
11a5374100
1258515108
133343aa83
141d1c8c08
1512e0e685
hexc2daf58

204320600 has 72 divisors (see below), whose sum is σ = 522219180. Its totient is φ = 74289600.

The previous prime is 204320591. The next prime is 204320647. The reversal of 204320600 is 6023402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19979 + ... + 28421.

Almost surely, 2204320600 is an apocalyptic number.

204320600 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 204320600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261109590).

204320600 is an abundant number, since it is smaller than the sum of its proper divisors (317898580).

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

204320600 is a wasteful number, since it uses less digits than its factorization.

204320600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481 (or 8461 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 204320600 is about 14294.0756958958. The cubic root of 204320600 is about 588.9847521378.

The spelling of 204320600 in words is "two hundred four million, three hundred twenty thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 8443 12100 16886 24200 33772 42215 67544 84430 92873 168860 185746 211075 337720 371492 422150 464365 742984 844300 928730 1021603 1688600 1857460 2043206 2321825 3714920 4086412 4643650 5108015 8172824 9287300 10216030 18574600 20432060 25540075 40864120 51080150 102160300 204320600