Search a number
-
+
235790080 = 285184211
BaseRepresentation
bin11100000110111…
…01111100000000
3121102200101011221
432003131330000
5440330240310
635221444424
75562116431
oct1603357400
9542611157
10235790080
11111108639
1266b70714
1339b08876
142345b488
1515a78ada
hexe0ddf00

235790080 has 36 divisors (see below), whose sum is σ = 564793992. Its totient is φ = 94315520.

The previous prime is 235790053. The next prime is 235790083. The reversal of 235790080 is 80097532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235790083) 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 3 ways as a sum of consecutive naturals, for example, 90826 + ... + 93385.

It is an arithmetic number, because the mean of its divisors is an integer number (15688722).

Almost surely, 2235790080 is an apocalyptic number.

235790080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235790080 is an abundant number, since it is smaller than the sum of its proper divisors (329003912).

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

235790080 is an equidigital number, since it uses as much as digits as its factorization.

235790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184232 (or 184218 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 235790080 is about 15355.4576616915. The cubic root of 235790080 is about 617.7913784920.

The spelling of 235790080 in words is "two hundred thirty-five million, seven hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 184211 368422 736844 921055 1473688 1842110 2947376 3684220 5894752 7368440 11789504 14736880 23579008 29473760 47158016 58947520 117895040 235790080