Search a number
-
+
204056010 = 23451913259
BaseRepresentation
bin11000010100110…
…10010111001010
3112012222010020000
430022122113022
5404214243020
632125343430
75025306324
oct1412322712
9465863200
10204056010
11a5203334
1258407b76
1333377502
141d15a614
1512dab090
hexc29a5ca

204056010 has 80 divisors (see below), whose sum is σ = 577605600. Its totient is φ = 51547104.

The previous prime is 204056009. The next prime is 204056011. The reversal of 204056010 is 10650402.

It is a happy number.

204056010 is a `hidden beast` number, since 20 + 40 + 5 + 601 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (204056009) and next prime (204056011).

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

It is not an unprimeable number, because it can be changed into a prime (204056011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8761 + ... + 22019.

It is an arithmetic number, because the mean of its divisors is an integer number (7220070).

Almost surely, 2204056010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204056010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288802800).

204056010 is an abundant number, since it is smaller than the sum of its proper divisors (373549590).

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

204056010 is a wasteful number, since it uses less digits than its factorization.

204056010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13297 (or 13288 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 204056010 is about 14284.8174647071. The cubic root of 204056010 is about 588.7304022038.

The spelling of 204056010 in words is "two hundred four million, fifty-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 13259 15390 26518 39777 66295 79554 119331 132590 198885 238662 251921 357993 397770 503842 596655 715986 755763 1073979 1193310 1259605 1511526 1789965 2147958 2267289 2519210 3579930 3778815 4534578 5369895 6801867 7557630 10739790 11336445 13603734 20405601 22672890 34009335 40811202 68018670 102028005 204056010