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204000606 = 23419191347
BaseRepresentation
bin11000010100011…
…00110101011110
3112012212022020000
430022030311132
5404211004411
632124235130
75024655645
oct1412146536
9465768200
10204000606
11a5175747
125839baa6
1333358224
141d14435c
1512d99956
hexc28cd5e

204000606 has 80 divisors (see below), whose sum is σ = 485084160. Its totient is φ = 63899280.

The previous prime is 204000581. The next prime is 204000613. The reversal of 204000606 is 606000402.

204000606 is a `hidden beast` number, since 20 + 40 + 0 + 0 + 606 = 666.

204000606 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 587725 + ... + 588071.

It is an arithmetic number, because the mean of its divisors is an integer number (6063552).

Almost surely, 2204000606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204000606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242542080).

204000606 is an abundant number, since it is smaller than the sum of its proper divisors (281083554).

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

204000606 is a wasteful number, since it uses less digits than its factorization.

204000606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 204000606 is about 14282.8780713132. The cubic root of 204000606 is about 588.6771145929.

The spelling of 204000606 in words is "two hundred four million, six hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 191 342 347 382 513 573 694 1026 1041 1146 1539 1719 2082 3078 3123 3438 3629 5157 6246 6593 7258 9369 10314 10887 13186 15471 18738 19779 21774 28107 30942 32661 39558 56214 59337 65322 66277 97983 118674 132554 178011 195966 198831 293949 356022 397662 534033 587898 596493 1068066 1192986 1259263 1789479 2518526 3578958 3777789 5368437 7555578 10736874 11333367 22666734 34000101 68000202 102000303 204000606