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204040240 = 24519241557
BaseRepresentation
bin11000010100101…
…10100000110000
3112012221022120221
430022112200300
5404213241430
632125142424
75025212335
oct1412264060
9465838527
10204040240
11a51a24a8
12583baa14
1333370291
141d15498c
1512da657a
hexc296830

204040240 has 80 divisors (see below), whose sum is σ = 502333920. Its totient is φ = 76861440.

The previous prime is 204040223. The next prime is 204040247. The reversal of 204040240 is 42040402.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (204040247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366042 + ... + 366598.

It is an arithmetic number, because the mean of its divisors is an integer number (6279174).

Almost surely, 2204040240 is an apocalyptic number.

204040240 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 204040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251166960).

204040240 is an abundant number, since it is smaller than the sum of its proper divisors (298293680).

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

204040240 is a wasteful number, since it uses less digits than its factorization.

204040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 204040240 is about 14284.2654693897. The cubic root of 204040240 is about 588.7152355874.

Adding to 204040240 its reverse (42040402), we get a palindrome (246080642).

The spelling of 204040240 in words is "two hundred four million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 241 304 380 482 557 760 964 1114 1205 1520 1928 2228 2410 2785 3856 4456 4579 4820 5570 8912 9158 9640 10583 11140 18316 19280 21166 22280 22895 36632 42332 44560 45790 52915 73264 84664 91580 105830 134237 169328 183160 211660 268474 366320 423320 536948 671185 846640 1073896 1342370 2147792 2550503 2684740 5101006 5369480 10202012 10738960 12752515 20404024 25505030 40808048 51010060 102020120 204040240