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200116728 = 23327397057
BaseRepresentation
bin10111110110110…
…00100111111000
3111221112222112200
423323120213320
5402212213403
631505110200
74646651460
oct1373304770
9457488480
10200116728
11a2a62729
1257028360
13325c8486
141c812ba0
151287dca3
hexbed89f8

200116728 has 48 divisors (see below), whose sum is σ = 619410480. Its totient is φ = 57176064.

The previous prime is 200116727. The next prime is 200116729. The reversal of 200116728 is 827611002.

It is an interprime number because it is at equal distance from previous prime (200116727) and next prime (200116729).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200116727) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 198025 + ... + 199032.

It is an arithmetic number, because the mean of its divisors is an integer number (12904385).

Almost surely, 2200116728 is an apocalyptic number.

200116728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

200116728 is an abundant number, since it is smaller than the sum of its proper divisors (419293752).

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

200116728 is a wasteful number, since it uses less digits than its factorization.

200116728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397076 (or 397069 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 200116728 is about 14146.2619797599. The cubic root of 200116728 is about 584.9172970967.

The spelling of 200116728 in words is "two hundred million, one hundred sixteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 397057 794114 1191171 1588228 2382342 2779399 3176456 3573513 4764684 5558798 7147026 8338197 9529368 11117596 14294052 16676394 22235192 25014591 28588104 33352788 50029182 66705576 100058364 200116728