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257068 = 2279181
BaseRepresentation
bin111110110000101100
3111001122001
4332300230
531211233
65302044
72120320
oct766054
9431561
10257068
11166159
12104924
1390016
1469980
155127d
hex3ec2c

257068 has 12 divisors (see below), whose sum is σ = 514192. Its totient is φ = 110160.

The previous prime is 257053. The next prime is 257069. The reversal of 257068 is 860752.

257068 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 9181 = 257068 / (2 + 5 + 7 + 0 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (257069) by changing a digit.

257068 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4563 + ... + 4618.

2257068 is an apocalyptic number.

257068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257068 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

257068 is a wasteful number, since it uses less digits than its factorization.

257068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9192 (or 9190 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 257068 is about 507.0187373263. The cubic root of 257068 is about 63.5842187550.

The spelling of 257068 in words is "two hundred fifty-seven thousand, sixty-eight".

Divisors: 1 2 4 7 14 28 9181 18362 36724 64267 128534 257068