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208000 = 275313
BaseRepresentation
bin110010110010000000
3101120022201
4302302000
523124000
64242544
71524262
oct626200
9346281
10208000
11132301
12a0454
13738a0
1455b32
154196a
hex32c80

208000 has 64 divisors (see below), whose sum is σ = 556920. Its totient is φ = 76800.

The previous prime is 207997. The next prime is 208001. The reversal of 208000 is 802.

It is a happy number.

208000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 179776 = 168^2 + 424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (208001) 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, 15994 + ... + 16006.

2208000 is an apocalyptic number.

208000 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 208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278460).

208000 is an abundant number, since it is smaller than the sum of its proper divisors (348920).

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

208000 is an equidigital number, since it uses as much as digits as its factorization.

208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 208000 is about 456.0701700397. The cubic root of 208000 is about 59.2499213681.

Adding to 208000 its reverse (802), we get a palindrome (208802).

It can be divided in two parts, 20 and 8000, that multiplied together give a 4-th power (160000 = 204).

The spelling of 208000 in words is "two hundred eight thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 640 650 800 832 1000 1040 1300 1600 1625 1664 2000 2080 2600 3200 3250 4000 4160 5200 6500 8000 8320 10400 13000 16000 20800 26000 41600 52000 104000 208000