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200406066 = 237291371201
BaseRepresentation
bin10111111000111…
…11010000110010
3111222002200102220
423330133100302
5402300443231
631515221510
74652265150
oct1374372062
9458080386
10200406066
11a3140053
1257147896
133269a093
141c88a3d0
15128d9896
hexbf1f432

200406066 has 64 divisors (see below), whose sum is σ = 477722880. Its totient is φ = 54835200.

The previous prime is 200406049. The next prime is 200406071. The reversal of 200406066 is 660604002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166266 + ... + 167466.

It is an arithmetic number, because the mean of its divisors is an integer number (7464420).

Almost surely, 2200406066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200406066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238861440).

200406066 is an abundant number, since it is smaller than the sum of its proper divisors (277316814).

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

200406066 is a wasteful number, since it uses less digits than its factorization.

200406066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 200406066 is about 14156.4849450702. The cubic root of 200406066 is about 585.1990614843.

It can be divided in two parts, 20040 and 6066, that added together give a triangular number (26106 = T228).

The spelling of 200406066 in words is "two hundred million, four hundred six thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 137 174 203 274 406 411 609 822 959 1201 1218 1918 2402 2877 3603 3973 5754 7206 7946 8407 11919 16814 23838 25221 27811 34829 50442 55622 69658 83433 104487 164537 166866 208974 243803 329074 487606 493611 731409 987222 1151759 1462818 2303518 3455277 4771573 6910554 9543146 14314719 28629438 33401011 66802022 100203033 200406066