Search a number
-
+
204986068 = 2271737103113
BaseRepresentation
bin11000011011111…
…01011011010100
3112021201101000121
430031331123110
5404434023233
632201321324
75036232010
oct1415753324
9467641017
10204986068
11a5789081
1258796244
1333611941
141d31d540
1512ee192d
hexc37d6d4

204986068 has 96 divisors (see below), whose sum is σ = 454132224. Its totient is φ = 78962688.

The previous prime is 204986063. The next prime is 204986071. The reversal of 204986068 is 860689402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204986063) 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, 1813980 + ... + 1814092.

It is an arithmetic number, because the mean of its divisors is an integer number (4730544).

Almost surely, 2204986068 is an apocalyptic number.

204986068 is a gapful number since it is divisible by the number (28) 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 204986068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227066112).

204986068 is an abundant number, since it is smaller than the sum of its proper divisors (249146156).

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

204986068 is a wasteful number, since it uses less digits than its factorization.

204986068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 204986068 is about 14317.3345284658. The cubic root of 204986068 is about 589.6234962625.

The spelling of 204986068 in words is "two hundred four million, nine hundred eighty-six thousand, sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 37 68 74 103 113 119 148 206 226 238 259 412 452 476 518 629 721 791 1036 1258 1442 1582 1751 1921 2516 2884 3164 3502 3811 3842 4181 4403 7004 7622 7684 8362 8806 11639 12257 13447 15244 16724 17612 23278 24514 26677 26894 29267 46556 49028 53354 53788 58534 64787 71077 81473 106708 117068 129574 142154 162946 197863 259148 284308 325892 395726 430643 453509 497539 791452 861286 907018 995078 1385041 1722572 1814036 1990156 2770082 3014501 5540164 6029002 7320931 12058004 14641862 29283724 51246517 102493034 204986068