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208980 = 2235543
BaseRepresentation
bin110011000001010100
3101121200000
4303001110
523141410
64251300
71530162
oct630124
9347600
10208980
11133012
12a0b30
1374175
1456232
1541dc0
hex33054

208980 has 72 divisors (see below), whose sum is σ = 672672. Its totient is φ = 54432.

The previous prime is 208963. The next prime is 208991. The reversal of 208980 is 89802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4839 + ... + 4881.

2208980 is an apocalyptic number.

208980 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 208980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336336).

208980 is an abundant number, since it is smaller than the sum of its proper divisors (463692).

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

208980 is a wasteful number, since it uses less digits than its factorization.

208980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 208980 is about 457.1433035712. The cubic root of 208980 is about 59.3428283700.

The spelling of 208980 in words is "two hundred eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 243 258 270 324 387 405 430 486 516 540 645 774 810 860 972 1161 1215 1290 1548 1620 1935 2322 2430 2580 3483 3870 4644 4860 5805 6966 7740 10449 11610 13932 17415 20898 23220 34830 41796 52245 69660 104490 208980