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668410200 = 233252371339
BaseRepresentation
bin100111110101110…
…010000101011000
31201120201202102100
4213311302011120
52332103111300
6150154203400
722364251533
oct4765620530
91646652370
10668410200
11313333527
12167a23560
13a862b8c3
1464ab3a1a
153da32700
hex27d72158

668410200 has 72 divisors (see below), whose sum is σ = 2244750300. Its totient is φ = 178242240.

The previous prime is 668410163. The next prime is 668410201. The reversal of 668410200 is 2014866.

668410200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668410201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 183870 + ... + 187469.

Almost surely, 2668410200 is an apocalyptic number.

668410200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668410200 is an abundant number, since it is smaller than the sum of its proper divisors (1576340100).

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

668410200 is a wasteful number, since it uses less digits than its factorization.

668410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371361 (or 371349 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 668410200 is about 25853.6303060131. The cubic root of 668410200 is about 874.3413601279.

The spelling of 668410200 in words is "six hundred sixty-eight million, four hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 371339 742678 1114017 1485356 1856695 2228034 2970712 3342051 3713390 4456068 5570085 6684102 7426780 8912136 9283475 11140170 13368204 14853560 16710255 18566950 22280340 26736408 27850425 33420510 37133900 44560680 55700850 66841020 74267800 83551275 111401700 133682040 167102550 222803400 334205100 668410200