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257101060 = 22512855053
BaseRepresentation
bin11110101001100…
…00110100000100
3122220210002100111
433110300310010
51011304213220
641302322404
76241215526
oct1724606404
9586702314
10257101060
11122143917
1272129404
134135a908
1426207a16
151788815a
hexf530d04

257101060 has 12 divisors (see below), whose sum is σ = 539912268. Its totient is φ = 102840416.

The previous prime is 257101003. The next prime is 257101069. The reversal of 257101060 is 60101752.

257101060 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 80317444 + 176783616 = 8962^2 + 13296^2 .

It is a super-2 number, since 2×2571010602 = 132201910106247200, which contains 22 as substring.

257101060 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (257101069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6427507 + ... + 6427546.

It is an arithmetic number, because the mean of its divisors is an integer number (44992689).

Almost surely, 2257101060 is an apocalyptic number.

257101060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257101060 is an abundant number, since it is smaller than the sum of its proper divisors (282811208).

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

257101060 is a wasteful number, since it uses less digits than its factorization.

257101060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12855062 (or 12855060 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 257101060 is about 16034.3712068793. The cubic root of 257101060 is about 635.8694436867.

The spelling of 257101060 in words is "two hundred fifty-seven million, one hundred one thousand, sixty".

Divisors: 1 2 4 5 10 20 12855053 25710106 51420212 64275265 128550530 257101060