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245243140 = 225294110313
BaseRepresentation
bin11101001111000…
…01110100000100
3122002110122100021
432213201310010
51000240240030
640200224524
76035350402
oct1647416404
9562418307
10245243140
1111648488a
126a16b144
133ba684ac
14247dc472
15167e497a
hexe9e1d04

245243140 has 48 divisors (see below), whose sum is σ = 545816880. Its totient is φ = 92395520.

The previous prime is 245243129. The next prime is 245243153. The reversal of 245243140 is 41342542.

It is a happy number.

245243140 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 can be written as a sum of positive squares in 8 ways, for example, as 34644996 + 210598144 = 5886^2 + 14512^2 .

245243140 is strictly pandigital in base 9.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18624 + ... + 28936.

It is an arithmetic number, because the mean of its divisors is an integer number (11371185).

Almost surely, 2245243140 is an apocalyptic number.

245243140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245243140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272908440).

245243140 is an abundant number, since it is smaller than the sum of its proper divisors (300573740).

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

245243140 is a wasteful number, since it uses less digits than its factorization.

245243140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10392 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 245243140 is about 15660.2407388903. The cubic root of 245243140 is about 625.9394001364.

Adding to 245243140 its reverse (41342542), we get a palindrome (286585682).

The spelling of 245243140 in words is "two hundred forty-five million, two hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 2378 4756 5945 10313 11890 20626 23780 41252 51565 103130 206260 299077 422833 598154 845666 1196308 1495385 1691332 2114165 2990770 4228330 5981540 8456660 12262157 24524314 49048628 61310785 122621570 245243140