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204021240 = 233519432081
BaseRepresentation
bin11000010100100…
…01110111111000
3112012220100112020
430022101313320
5404212134430
632124514440
75025103053
oct1412216770
9465810466
10204021240
11a518a1a5
12583aba20
1333364737
141d14ba9a
1512da0b10
hexc291df8

204021240 has 128 divisors (see below), whose sum is σ = 659577600. Its totient is φ = 50319360.

The previous prime is 204021229. The next prime is 204021241. The reversal of 204021240 is 42120402.

204021240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2040212402 = 83249332742275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204021241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97000 + ... + 99080.

It is an arithmetic number, because the mean of its divisors is an integer number (5152950).

Almost surely, 2204021240 is an apocalyptic number.

204021240 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 204021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329788800).

204021240 is an abundant number, since it is smaller than the sum of its proper divisors (455556360).

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

204021240 is a wasteful number, since it uses less digits than its factorization.

204021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 204021240 is about 14283.6003864572. The cubic root of 204021240 is about 588.6969615178.

Adding to 204021240 its reverse (42120402), we get a palindrome (246141642).

The spelling of 204021240 in words is "two hundred four million, twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 43 57 60 76 86 95 114 120 129 152 172 190 215 228 258 285 344 380 430 456 516 570 645 760 817 860 1032 1140 1290 1634 1720 2081 2280 2451 2580 3268 4085 4162 4902 5160 6243 6536 8170 8324 9804 10405 12255 12486 16340 16648 19608 20810 24510 24972 31215 32680 39539 41620 49020 49944 62430 79078 83240 89483 98040 118617 124860 158156 178966 197695 237234 249720 268449 316312 357932 395390 447415 474468 536898 593085 715864 790780 894830 948936 1073796 1186170 1342245 1581560 1700177 1789660 2147592 2372340 2684490 3400354 3579320 4744680 5100531 5368980 6800708 8500885 10201062 10737960 13601416 17001770 20402124 25502655 34003540 40804248 51005310 68007080 102010620 204021240