Search a number
-
+
257245340 = 225112350839
BaseRepresentation
bin11110101010101…
…00000010011100
3122221001102021012
433111110002130
51011323322330
641305354352
76242356262
oct1725240234
9587042235
10257245340
11122232260
12721989b8
13413ab4a1
1426244432
15178b5c95
hexf55409c

257245340 has 48 divisors (see below), whose sum is σ = 614960640. Its totient is φ = 89474880.

The previous prime is 257245321. The next prime is 257245379. The reversal of 257245340 is 43542752.

It is a junction number, because it is equal to n+sod(n) for n = 257245297 and 257245306.

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, 20360 + ... + 30479.

It is an arithmetic number, because the mean of its divisors is an integer number (12811680).

Almost surely, 2257245340 is an apocalyptic number.

257245340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257245340 is an abundant number, since it is smaller than the sum of its proper divisors (357715300).

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

257245340 is a wasteful number, since it uses less digits than its factorization.

257245340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50882 (or 50880 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 257245340 is about 16038.8696609206. The cubic root of 257245340 is about 635.9883672041.

The spelling of 257245340 in words is "two hundred fifty-seven million, two hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 50839 101678 203356 254195 508390 559229 1016780 1118458 1169297 2236916 2338594 2796145 4677188 5592290 5846485 11184580 11692970 12862267 23385940 25724534 51449068 64311335 128622670 257245340