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200320 = 275313
BaseRepresentation
bin110000111010000000
3101011210021
4300322000
522402240
64143224
71463011
oct607200
9334707
10200320
1112755a
1297b14
1370243
1453008
153e54a
hex30e80

200320 has 32 divisors (see below), whose sum is σ = 480420. Its totient is φ = 79872.

The previous prime is 200297. The next prime is 200323. The reversal of 200320 is 23002.

Adding to 200320 its reverse (23002), we get a palindrome (223322).

It can be divided in two parts, 200 and 320, that multiplied together give a cube (64000 = 403).

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 33856 = 408^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (200323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 484 + ... + 796.

2200320 is an apocalyptic number.

200320 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 200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240210).

200320 is an abundant number, since it is smaller than the sum of its proper divisors (280100).

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

200320 is an equidigital number, since it uses as much as digits as its factorization.

200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 200320 is about 447.5712233824. The cubic root of 200320 is about 58.5115276672.

The spelling of 200320 in words is "two hundred thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 313 320 626 640 1252 1565 2504 3130 5008 6260 10016 12520 20032 25040 40064 50080 100160 200320