Search a number
-
+
200066076 = 223272513163
BaseRepresentation
bin10111110110011…
…00010000011100
3111221110102001200
423323030100130
5402204103301
631504035500
74646351010
oct1373142034
9457412050
10200066076
11a2a28671
1257002b90
13325ab3c2
141c7dc540
151286dc86
hexbecc41c

200066076 has 72 divisors (see below), whose sum is σ = 580454784. Its totient is φ = 56916000.

The previous prime is 200066071. The next prime is 200066107. The reversal of 200066076 is 670660002.

200066076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200066071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61671 + ... + 64833.

It is an arithmetic number, because the mean of its divisors is an integer number (8061872).

Almost surely, 2200066076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200066076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290227392).

200066076 is an abundant number, since it is smaller than the sum of its proper divisors (380388708).

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

200066076 is a wasteful number, since it uses less digits than its factorization.

200066076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 200066076 is about 14144.4715701931. The cubic root of 200066076 is about 584.8679430168.

The spelling of 200066076 in words is "two hundred million, sixty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 251 252 502 753 1004 1506 1757 2259 3012 3163 3514 4518 5271 6326 7028 9036 9489 10542 12652 15813 18978 21084 22141 28467 31626 37956 44282 56934 63252 66423 88564 113868 132846 199269 265692 398538 793913 797076 1587826 2381739 3175652 4763478 5557391 7145217 9526956 11114782 14290434 16672173 22229564 28580868 33344346 50016519 66688692 100033038 200066076