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257734660 = 22512886733
BaseRepresentation
bin11110101110010…
…11100000000100
3122221222021111011
433113023200010
51011440002120
641324052004
76246465001
oct1727134004
9587867434
10257734660
11122536957
1272394004
1341520121
14263308a8
1517960c5a
hexf5cb804

257734660 has 12 divisors (see below), whose sum is σ = 541242828. Its totient is φ = 103093856.

The previous prime is 257734627. The next prime is 257734661. The reversal of 257734660 is 66437752.

It can be written as a sum of positive squares in 2 ways, for example, as 197796096 + 59938564 = 14064^2 + 7742^2 .

It is not an unprimeable number, because it can be changed into a prime (257734661) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6443347 + ... + 6443386.

It is an arithmetic number, because the mean of its divisors is an integer number (45103569).

Almost surely, 2257734660 is an apocalyptic number.

257734660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257734660 is an abundant number, since it is smaller than the sum of its proper divisors (283508168).

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

257734660 is a wasteful number, since it uses less digits than its factorization.

257734660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12886742 (or 12886740 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The square root of 257734660 is about 16054.1166060297. The cubic root of 257734660 is about 636.3913608577.

The spelling of 257734660 in words is "two hundred fifty-seven million, seven hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 12886733 25773466 51546932 64433665 128867330 257734660