Search a number
-
+
257966680 = 23514943283
BaseRepresentation
bin11110110000001…
…00001001011000
3122222102001202111
433120010021120
51012014413210
641333042104
76251452306
oct1730041130
9588361674
10257966680
11122685204
1272486334
13415a190a
1426391276
15179a988a
hexf604258

257966680 has 32 divisors (see below), whose sum is σ = 584334000. Its totient is φ = 102491776.

The previous prime is 257966677. The next prime is 257966699. The reversal of 257966680 is 86669752.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 15682 + ... + 27601.

Almost surely, 2257966680 is an apocalyptic number.

257966680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257966680 is an abundant number, since it is smaller than the sum of its proper divisors (326367320).

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

257966680 is a wasteful number, since it uses less digits than its factorization.

257966680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43443 (or 43439 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 257966680 is about 16061.3411644233. The cubic root of 257966680 is about 636.5822693910.

The spelling of 257966680 in words is "two hundred fifty-seven million, nine hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 5960 43283 86566 173132 216415 346264 432830 865660 1731320 6449167 12898334 25796668 32245835 51593336 64491670 128983340 257966680