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204242040 = 23335281673
BaseRepresentation
bin11000010110001…
…11110001111000
3112020022120102000
430023013301320
5404241221130
632133341000
75030012562
oct1413076170
9466276360
10204242040
11a5320082
1258497760
13334110a2
141d1a8332
1512de6260
hexc2c7c78

204242040 has 128 divisors (see below), whose sum is σ = 684244800. Its totient is φ = 54190080.

The previous prime is 204242023. The next prime is 204242083. The reversal of 204242040 is 40242402.

204242040 is a `hidden beast` number, since 204 + 2 + 420 + 40 = 666.

204242040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303144 + ... + 303816.

Almost surely, 2204242040 is an apocalyptic number.

204242040 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 204242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342122400).

204242040 is an abundant number, since it is smaller than the sum of its proper divisors (480002760).

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

204242040 is a wasteful number, since it uses less digits than its factorization.

204242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 204242040 is about 14291.3274400946. The cubic root of 204242040 is about 588.9092554696.

Adding to 204242040 its reverse (40242402), we get a palindrome (244484442).

The spelling of 204242040 in words is "two hundred four million, two hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 281 360 540 562 673 843 1080 1124 1346 1405 1686 2019 2248 2529 2692 2810 3365 3372 4038 4215 5058 5384 5620 6057 6730 6744 7587 8076 8430 10095 10116 11240 12114 12645 13460 15174 16152 16860 18171 20190 20232 24228 25290 26920 30285 30348 33720 36342 37935 40380 48456 50580 60570 60696 72684 75870 80760 90855 101160 121140 145368 151740 181710 189113 242280 303480 363420 378226 567339 726840 756452 945565 1134678 1512904 1702017 1891130 2269356 2836695 3404034 3782260 4538712 5106051 5673390 6808068 7564520 8510085 10212102 11346780 13616136 17020170 20424204 22693560 25530255 34040340 40848408 51060510 68080680 102121020 204242040