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257001060 = 22354283351
BaseRepresentation
bin11110101000110…
…00011001100100
3122220121000011210
433110120121210
51011243013220
641300231420
76240321141
oct1724303144
9586530153
10257001060
11122085778
127209b570
1341324244
14261bd3c8
15178686e0
hexf518664

257001060 has 24 divisors (see below), whose sum is σ = 719603136. Its totient is φ = 68533600.

The previous prime is 257001047. The next prime is 257001061. The reversal of 257001060 is 60100752.

257001060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2570010602 = 132099089682247200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257001061) 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 7 ways as a sum of consecutive naturals, for example, 2141616 + ... + 2141735.

It is an arithmetic number, because the mean of its divisors is an integer number (29983464).

Almost surely, 2257001060 is an apocalyptic number.

257001060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257001060 is an abundant number, since it is smaller than the sum of its proper divisors (462602076).

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

257001060 is a wasteful number, since it uses less digits than its factorization.

257001060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283363 (or 4283361 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 257001060 is about 16031.2526023390. The cubic root of 257001060 is about 635.7869920751.

The spelling of 257001060 in words is "two hundred fifty-seven million, one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4283351 8566702 12850053 17133404 21416755 25700106 42833510 51400212 64250265 85667020 128500530 257001060