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208012 = 227171923
BaseRepresentation
bin110010110010001100
3101120100011
4302302030
523124022
64243004
71524310
oct626214
9346304
10208012
11132312
12a0464
13738ac
1455b40
1541977
hex32c8c

208012 has 48 divisors (see below), whose sum is σ = 483840. Its totient is φ = 76032.

The previous prime is 208009. The next prime is 208037. The reversal of 208012 is 210802.

It is the 12-th Catalan number.

It is a junction number, because it is equal to n+sod(n) for n = 207983 and 208001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9033 + ... + 9055.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2208012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

208012 is an abundant number, since it is smaller than the sum of its proper divisors (275828).

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

208012 is a wasteful number, since it uses less digits than its factorization.

208012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 208012 is about 456.0833257202. The cubic root of 208012 is about 59.2510607678.

The spelling of 208012 in words is "two hundred eight thousand, twelve".

Divisors: 1 2 4 7 14 17 19 23 28 34 38 46 68 76 92 119 133 161 238 266 322 323 391 437 476 532 644 646 782 874 1292 1564 1748 2261 2737 3059 4522 5474 6118 7429 9044 10948 12236 14858 29716 52003 104006 208012