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208080 = 24325172
BaseRepresentation
bin110010110011010000
3101120102200
4302303100
523124310
64243200
71524435
oct626320
9346380
10208080
11132374
12a0500
1373932
1455b8c
15419c0
hex32cd0

208080 has 90 divisors (see below), whose sum is σ = 742326. Its totient is φ = 52224.

The previous prime is 208073. The next prime is 208099. The reversal of 208080 is 80802.

It can be written as a sum of positive squares in 3 ways, for example, as 69696 + 138384 = 264^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12232 + ... + 12248.

2208080 is an apocalyptic number.

208080 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 208080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371163).

208080 is an abundant number, since it is smaller than the sum of its proper divisors (534246).

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

208080 is a wasteful number, since it uses less digits than its factorization.

208080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 208080 is about 456.1578674100. The cubic root of 208080 is about 59.2575165383.

Adding to 208080 its reverse (80802), we get a palindrome (288882).

It can be divided in two parts, 20 and 8080, that added together give a square (8100 = 902).

The spelling of 208080 in words is "two hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 289 306 340 360 408 510 578 612 680 720 765 816 867 1020 1156 1224 1360 1445 1530 1734 2040 2312 2448 2601 2890 3060 3468 4080 4335 4624 5202 5780 6120 6936 8670 10404 11560 12240 13005 13872 17340 20808 23120 26010 34680 41616 52020 69360 104040 208080