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204640240 = 24572912601
BaseRepresentation
bin11000011001010…
…00111111110000
3112021001210122011
430030220333300
5404341441430
632150052304
75033261530
oct1414507760
9467053564
10204640240
11a5572272
125864a094
13335203cc
141d26d4c0
1512e7422a
hexc328ff0

204640240 has 80 divisors (see below), whose sum is σ = 562553280. Its totient is φ = 67737600.

The previous prime is 204640231. The next prime is 204640253. The reversal of 204640240 is 42046402.

204640240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 9940 + ... + 22540.

It is an arithmetic number, because the mean of its divisors is an integer number (7031916).

Almost surely, 2204640240 is an apocalyptic number.

204640240 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 204640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281276640).

204640240 is an abundant number, since it is smaller than the sum of its proper divisors (357913040).

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

204640240 is a wasteful number, since it uses less digits than its factorization.

204640240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12650 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 204640240 is about 14305.2521823280. The cubic root of 204640240 is about 589.2917288502.

Adding to 204640240 its reverse (42046402), we get a palindrome (246686642).

The spelling of 204640240 in words is "two hundred four million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 12601 16240 25202 50404 63005 88207 100808 126010 176414 201616 252020 352828 365429 441035 504040 705656 730858 882070 1008080 1411312 1461716 1764140 1827145 2558003 2923432 3528280 3654290 5116006 5846864 7056560 7308580 10232012 12790015 14617160 20464024 25580030 29234320 40928048 51160060 102320120 204640240