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200586980 = 225115317203
BaseRepresentation
bin10111111010010…
…11011011100100
3111222102212121102
423331023123210
5402322240410
631523135232
74653650456
oct1375133344
9458385542
10200586980
11a3253a70
1257214518
1332731529
141c8d62d6
15129232a5
hexbf4b6e4

200586980 has 48 divisors (see below), whose sum is σ = 468224064. Its totient is φ = 71560320.

The previous prime is 200586973. The next prime is 200587001. The reversal of 200586980 is 89685002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3059 + ... + 20261.

It is an arithmetic number, because the mean of its divisors is an integer number (9754668).

Almost surely, 2200586980 is an apocalyptic number.

200586980 is a gapful number since it is divisible by the number (20) 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 200586980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234112032).

200586980 is an abundant number, since it is smaller than the sum of its proper divisors (267637084).

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

200586980 is a wasteful number, since it uses less digits than its factorization.

200586980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17276 (or 17274 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 200586980 is about 14162.8732960512. The cubic root of 200586980 is about 585.3751021656.

The spelling of 200586980 in words is "two hundred million, five hundred eighty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 17203 34406 68812 86015 172030 189233 344060 378466 756932 911759 946165 1823518 1892330 3647036 3784660 4558795 9117590 10029349 18235180 20058698 40117396 50146745 100293490 200586980