Search a number
-
+
245235920 = 2453065449
BaseRepresentation
bin11101001111000…
…00000011010000
3122002110021102212
432213200003100
51000240022140
640200131252
76035320346
oct1647400320
9562407385
10245235920
1111647a416
126a166b28
133ba65117
14247d9996
15167e2765
hexe9e00d0

245235920 has 20 divisors (see below), whose sum is σ = 570173700. Its totient is φ = 98094336.

The previous prime is 245235901. The next prime is 245235997. The reversal of 245235920 is 29532542.

It can be written as a sum of positive squares in 2 ways, for example, as 131515024 + 113720896 = 11468^2 + 10664^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1532645 + ... + 1532804.

It is an arithmetic number, because the mean of its divisors is an integer number (28508685).

Almost surely, 2245235920 is an apocalyptic number.

245235920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245235920 is an abundant number, since it is smaller than the sum of its proper divisors (324937780).

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

245235920 is a wasteful number, since it uses less digits than its factorization.

245235920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065462 (or 3065456 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 245235920 is about 15660.0102171103. The cubic root of 245235920 is about 625.9332574884.

The spelling of 245235920 in words is "two hundred forty-five million, two hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3065449 6130898 12261796 15327245 24523592 30654490 49047184 61308980 122617960 245235920