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259401142 = 27111329967
BaseRepresentation
bin11110111011000…
…10010110110110
3200002002221110201
433131202112312
51012401314032
641423511114
76266605360
oct1735422666
9602087421
10259401142
11123474a10
1272a5849a
1341984800
1426645d30
1517b8e8e7
hexf7625b6

259401142 has 48 divisors (see below), whose sum is σ = 525353472. Its totient is φ = 93281760.

The previous prime is 259401139. The next prime is 259401157. The reversal of 259401142 is 241104952.

It is a self number, because there is not a number n which added to its sum of digits gives 259401142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21043 + ... + 31009.

It is an arithmetic number, because the mean of its divisors is an integer number (10944864).

Almost surely, 2259401142 is an apocalyptic number.

259401142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

259401142 is an abundant number, since it is smaller than the sum of its proper divisors (265952330).

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

259401142 is a wasteful number, since it uses less digits than its factorization.

259401142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10013 (or 10000 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 259401142 is about 16105.9349930391. The cubic root of 259401142 is about 637.7600257721.

The spelling of 259401142 in words is "two hundred fifty-nine million, four hundred one thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 169 182 286 338 1001 1183 1859 2002 2366 3718 9967 13013 19934 26026 69769 109637 129571 139538 219274 259142 767459 906997 1425281 1534918 1684423 1813994 2850562 3368846 9976967 11790961 18528653 19953934 23581922 37057306 129700571 259401142