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200968096 = 2571098231
BaseRepresentation
bin10111111101010…
…00011110100000
3112000011020101211
423332220132200
5402421434341
631535235504
74660125550
oct1376503640
9460136354
10200968096
11a349433a
1257378b94
1332835b44
141c995160
151299b181
hexbfa87a0

200968096 has 48 divisors (see below), whose sum is σ = 456382080. Its totient is φ = 85328640.

The previous prime is 200968093. The next prime is 200968121. The reversal of 200968096 is 690869002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200968091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20301 + ... + 28531.

It is an arithmetic number, because the mean of its divisors is an integer number (9507960).

Almost surely, 2200968096 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 200968096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228191040).

200968096 is an abundant number, since it is smaller than the sum of its proper divisors (255413984).

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

200968096 is a wasteful number, since it uses less digits than its factorization.

200968096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8357 (or 8349 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 200968096 is about 14176.3216667794. The cubic root of 200968096 is about 585.7456058944.

The spelling of 200968096 in words is "two hundred million, nine hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 763 872 1526 1744 3052 3488 6104 8231 12208 16462 24416 32924 57617 65848 115234 131696 230468 263392 460936 897179 921872 1794358 1843744 3588716 6280253 7177432 12560506 14354864 25121012 28709728 50242024 100484048 200968096