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257010068 = 22779116189
BaseRepresentation
bin11110101000110…
…10100110010100
3122220121110112102
433110122212110
51011243310233
641300341232
76240356330
oct1724324624
9586543472
10257010068
11122091517
12720a4818
1341328383
14261c27c0
151786b1e8
hexf51a994

257010068 has 24 divisors (see below), whose sum is σ = 520531200. Its totient is φ = 108751968.

The previous prime is 257010067. The next prime is 257010071. The reversal of 257010068 is 860010752.

257010068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 257010068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257010067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55883 + ... + 60306.

It is an arithmetic number, because the mean of its divisors is an integer number (21688800).

Almost surely, 2257010068 is an apocalyptic number.

257010068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257010068 is an abundant number, since it is smaller than the sum of its proper divisors (263521132).

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

257010068 is a wasteful number, since it uses less digits than its factorization.

257010068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116279 (or 116277 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 257010068 is about 16031.5335510986. The cubic root of 257010068 is about 635.7944201927.

The spelling of 257010068 in words is "two hundred fifty-seven million, ten thousand, sixty-eight".

Divisors: 1 2 4 7 14 28 79 158 316 553 1106 2212 116189 232378 464756 813323 1626646 3253292 9178931 18357862 36715724 64252517 128505034 257010068