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200680 = 23529173
BaseRepresentation
bin110000111111101000
3101012021121
4300333220
522410210
64145024
71464034
oct607750
9335247
10200680
11127857
1298174
137045c
14531c4
153e6da
hex30fe8

200680 has 32 divisors (see below), whose sum is σ = 469800. Its totient is φ = 77056.

The previous prime is 200671. The next prime is 200689. The reversal of 200680 is 86002.

It is an interprime number because it is at equal distance from previous prime (200671) and next prime (200689).

It can be written as a sum of positive squares in 4 ways, for example, as 191844 + 8836 = 438^2 + 94^2 .

It is not an unprimeable number, because it can be changed into a prime (200689) by changing a digit.

200680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1074 + ... + 1246.

2200680 is an apocalyptic number.

200680 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 200680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234900).

200680 is an abundant number, since it is smaller than the sum of its proper divisors (269120).

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

200680 is a wasteful number, since it uses less digits than its factorization.

200680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 200680 is about 447.9732134849. The cubic root of 200680 is about 58.5465575265.

Adding to 200680 its reverse (86002), we get a palindrome (286682).

The spelling of 200680 in words is "two hundred thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 173 232 290 346 580 692 865 1160 1384 1730 3460 5017 6920 10034 20068 25085 40136 50170 100340 200680