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204089400 = 233252113383
BaseRepresentation
bin11000010101000…
…10100000111000
3112020000211000200
430022202200320
5404221330100
632130202200
75025505554
oct1412424070
9466024020
10204089400
11a5226429
1258423360
1333389778
141d168864
1512db5e00
hexc2a2838

204089400 has 72 divisors (see below), whose sum is σ = 685406280. Its totient is φ = 54423360.

The previous prime is 204089359. The next prime is 204089401. The reversal of 204089400 is 4980402.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204089401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54892 + ... + 58491.

Almost surely, 2204089400 is an apocalyptic number.

204089400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204089400 is an abundant number, since it is smaller than the sum of its proper divisors (481316880).

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

204089400 is a wasteful number, since it uses less digits than its factorization.

204089400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113405 (or 113393 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 204089400 is about 14285.9861402705. The cubic root of 204089400 is about 588.7625120740.

The spelling of 204089400 in words is "two hundred four million, eighty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 113383 226766 340149 453532 566915 680298 907064 1020447 1133830 1360596 1700745 2040894 2267660 2721192 2834575 3401490 4081788 4535320 5102235 5669150 6802980 8163576 8503725 10204470 11338300 13605960 17007450 20408940 22676600 25511175 34014900 40817880 51022350 68029800 102044700 204089400