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208421136 = 243271118797
BaseRepresentation
bin11000110110001…
…00000100010000
3112112011220001100
430123010010100
5411323434021
632403104400
75110356540
oct1433040420
9475156040
10208421136
11a7714980
1259972100
1334245321
141d975320
151346e626
hexc6c4110

208421136 has 120 divisors (see below), whose sum is σ = 727257024. Its totient is φ = 54132480.

The previous prime is 208421119. The next prime is 208421137. The reversal of 208421136 is 631124802.

208421136 is a `hidden beast` number, since 208 + 421 + 1 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208421137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1690 + ... + 20486.

Almost surely, 2208421136 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 208421136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363628512).

208421136 is an abundant number, since it is smaller than the sum of its proper divisors (518835888).

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

208421136 is a wasteful number, since it uses less digits than its factorization.

208421136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18829 (or 18820 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 208421136 is about 14436.7979829324. The cubic root of 208421136 is about 592.8988203093.

Adding to 208421136 its reverse (631124802), we get a palindrome (839545938).

It can be divided in two parts, 2084 and 21136, that added together give a triangular number (23220 = T215).

The spelling of 208421136 in words is "two hundred eight million, four hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 18797 37594 56391 75188 112782 131579 150376 169173 206767 225564 263158 300752 338346 394737 413534 451128 526316 620301 676692 789474 827068 902256 1052632 1184211 1240602 1353384 1447369 1578948 1654136 1860903 2105264 2368422 2481204 2706768 2894738 3157896 3308272 3721806 4342107 4736844 4962408 5789476 6315792 7443612 8684214 9473688 9924816 11578952 13026321 14887224 17368428 18947376 23157904 26052642 29774448 34736856 52105284 69473712 104210568 208421136