Search a number
-
+
208687940 = 22595310949
BaseRepresentation
bin11000111000001…
…01001101000100
3112112200110000222
430130011031010
5411411003230
632412523512
75112550436
oct1434051504
9475613028
10208687940
11a788737a
1259a80598
13343098b6
141da04656
15134c36e5
hexc705344

208687940 has 24 divisors (see below), whose sum is σ = 438744600. Its totient is φ = 83379968.

The previous prime is 208687931. The next prime is 208687949. The reversal of 208687940 is 49786802.

208687940 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208687931) and next prime (208687949).

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 208686916 = 32^2 + 14446^2 .

208687940 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 208687891 and 208687900.

It is not an unprimeable number, because it can be changed into a prime (208687949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13586 + ... + 24534.

It is an arithmetic number, because the mean of its divisors is an integer number (18281025).

Almost surely, 2208687940 is an apocalyptic number.

208687940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208687940 is an abundant number, since it is smaller than the sum of its proper divisors (230056660).

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

208687940 is a wasteful number, since it uses less digits than its factorization.

208687940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11911 (or 11909 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 208687940 is about 14446.0354422935. The cubic root of 208687940 is about 593.1517062499.

The spelling of 208687940 in words is "two hundred eight million, six hundred eighty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 953 1906 3812 4765 9530 10949 19060 21898 43796 54745 109490 218980 10434397 20868794 41737588 52171985 104343970 208687940