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460257138 = 23211319211
BaseRepresentation
bin11011011011101…
…111011101110010
31012002001111002200
4123123233131302
51420311212023
6113400524030
714256056355
oct3333573562
91162044080
10460257138
11216892000
1210a180616
137447b603
14451ac29c
152a617743
hex1b6ef772

460257138 has 48 divisors (see below), whose sum is σ = 1096928352. Its totient is φ = 139464600.

The previous prime is 460257137. The next prime is 460257169. The reversal of 460257138 is 831752064.

It is not an unprimeable number, because it can be changed into a prime (460257137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14353 + ... + 33563.

It is an arithmetic number, because the mean of its divisors is an integer number (22852674).

Almost surely, 2460257138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460257138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548464176).

460257138 is an abundant number, since it is smaller than the sum of its proper divisors (636671214).

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

460257138 is a wasteful number, since it uses less digits than its factorization.

460257138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19252 (or 19227 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 460257138 is about 21453.6043125625. The cubic root of 460257138 is about 772.0880739718.

The spelling of 460257138 in words is "four hundred sixty million, two hundred fifty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 3993 7986 11979 19211 23958 38422 57633 115266 172899 211321 345798 422642 633963 1267926 1901889 2324531 3803778 4649062 6973593 13947186 20920779 25569841 41841558 51139682 76709523 153419046 230128569 460257138