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257028 = 22321419
BaseRepresentation
bin111110110000000100
3111001120120
4332300010
531211103
65301540
72120232
oct766004
9431516
10257028
11166122
121048b0
138ccb5
1469952
1551253
hex3ec04

257028 has 12 divisors (see below), whose sum is σ = 599760. Its totient is φ = 85672.

The previous prime is 257017. The next prime is 257053. The reversal of 257028 is 820752.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 256989 and 257007.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257028.

It is an unprimeable number.

257028 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, 10698 + ... + 10721.

It is an arithmetic number, because the mean of its divisors is an integer number (49980).

2257028 is an apocalyptic number.

It is an amenable number.

257028 is an abundant number, since it is smaller than the sum of its proper divisors (342732).

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

257028 is a wasteful number, since it uses less digits than its factorization.

257028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21426 (or 21424 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 257028 is about 506.9792895178. The cubic root of 257028 is about 63.5809206644.

The spelling of 257028 in words is "two hundred fifty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 21419 42838 64257 85676 128514 257028