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208983140 = 225101103457
BaseRepresentation
bin11000111010011…
…01010001100100
3112120020102222022
430131031101210
5411444430030
632423122312
75115220202
oct1435152144
9476212868
10208983140
11a7a69143
1259ba3398
13343b1082
141da80072
1513530de5
hexc74d464

208983140 has 24 divisors (see below), whose sum is σ = 443214072. Its totient is φ = 82764800.

The previous prime is 208983101. The next prime is 208983149. The reversal of 208983140 is 41389802.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51380224 + 157602916 = 7168^2 + 12554^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 208983140.

It is not an unprimeable number, because it can be changed into a prime (208983149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49709 + ... + 53748.

It is an arithmetic number, because the mean of its divisors is an integer number (18467253).

Almost surely, 2208983140 is an apocalyptic number.

208983140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208983140 is an abundant number, since it is smaller than the sum of its proper divisors (234230932).

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

208983140 is a wasteful number, since it uses less digits than its factorization.

208983140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103567 (or 103565 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 208983140 is about 14456.2491677475. The cubic root of 208983140 is about 593.4312558437.

The spelling of 208983140 in words is "two hundred eight million, nine hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 103457 206914 413828 517285 1034570 2069140 10449157 20898314 41796628 52245785 104491570 208983140