Search a number
-
+
460128019 = 13219314107
BaseRepresentation
bin11011011011001…
…111111100010011
31012001210220222111
4123123033330103
51420243044034
6113354050151
714255011051
oct3333177423
91161726874
10460128019
11216803a9a
1210a119957
1374434900
14451771d1
152a5de364
hex1b6cff13

460128019 has 12 divisors (see below), whose sum is σ = 500862216. Its totient is φ = 422502912.

The previous prime is 460128017. The next prime is 460128029. The reversal of 460128019 is 910821064.

It is a happy number.

It is not a de Polignac number, because 460128019 - 21 = 460128017 is a prime.

It is a super-2 number, since 2×4601280192 = 423435587737728722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460128017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25564 + ... + 39670.

It is an arithmetic number, because the mean of its divisors is an integer number (41738518).

Almost surely, 2460128019 is an apocalyptic number.

460128019 is a deficient number, since it is larger than the sum of its proper divisors (40734197).

460128019 is a wasteful number, since it uses less digits than its factorization.

460128019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14326 (or 14313 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 460128019 is about 21450.5948402369. The cubic root of 460128019 is about 772.0158675495.

The spelling of 460128019 in words is "four hundred sixty million, one hundred twenty-eight thousand, nineteen".

Divisors: 1 13 169 193 2509 14107 32617 183391 2384083 2722651 35394463 460128019