Search a number
-
+
257678680 = 2357920281
BaseRepresentation
bin11110101101111…
…01110101011000
3122221212102200211
433112331311120
51011431204210
641322540504
76246142540
oct1726756530
9587772624
10257678680
111224a8896
1272367734
13415007bc
1426318320
151794e38a
hexf5bdd58

257678680 has 32 divisors (see below), whose sum is σ = 662603040. Its totient is φ = 88346880.

The previous prime is 257678677. The next prime is 257678731. The reversal of 257678680 is 86876752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459861 + ... + 460420.

It is an arithmetic number, because the mean of its divisors is an integer number (20706345).

Almost surely, 2257678680 is an apocalyptic number.

257678680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257678680 is an abundant number, since it is smaller than the sum of its proper divisors (404924360).

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

257678680 is a wasteful number, since it uses less digits than its factorization.

257678680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920299 (or 920295 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The square root of 257678680 is about 16052.3730332932. The cubic root of 257678680 is about 636.3452827607.

The spelling of 257678680 in words is "two hundred fifty-seven million, six hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 920281 1840562 3681124 4601405 6441967 7362248 9202810 12883934 18405620 25767868 32209835 36811240 51535736 64419670 128839340 257678680