Search a number
-
+
253024340 = 225611571321
BaseRepresentation
bin11110001010011…
…01100001010100
3122122002222010212
433011031201110
51004233234330
641035104552
76161446202
oct1705154124
9578088125
10253024340
1111a909a28
12708a2158
134056115a
1425866072
1517330295
hexf14d854

253024340 has 48 divisors (see below), whose sum is σ = 543913104. Its totient is φ = 98841600.

The previous prime is 253024339. The next prime is 253024363. The reversal of 253024340 is 43420352.

It can be written as a sum of positive squares in 8 ways, for example, as 12588304 + 240436036 = 3548^2 + 15506^2 .

It is a congruent number.

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, 190880 + ... + 192200.

It is an arithmetic number, because the mean of its divisors is an integer number (11331523).

Almost surely, 2253024340 is an apocalyptic number.

253024340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253024340 is an abundant number, since it is smaller than the sum of its proper divisors (290888764).

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

253024340 is a wasteful number, since it uses less digits than its factorization.

253024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 253024340 is about 15906.7388235301. The cubic root of 253024340 is about 632.4906360740.

Adding to 253024340 its reverse (43420352), we get a palindrome (296444692).

The spelling of 253024340 in words is "two hundred fifty-three million, twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 157 244 305 314 610 628 785 1220 1321 1570 2642 3140 5284 6605 9577 13210 19154 26420 38308 47885 80581 95770 161162 191540 207397 322324 402905 414794 805810 829588 1036985 1611620 2073970 4147940 12651217 25302434 50604868 63256085 126512170 253024340