Search a number
-
+
460413153 = 345684113
BaseRepresentation
bin11011011100010…
…101100011100001
31012002100102010000
4123130111203201
51420331210103
6113404130213
714260306254
oct3334254341
91162312100
10460413153
11216989242
1210a236969
1374504625
144520d09b
152a648aa3
hex1b7158e1

460413153 has 10 divisors (see below), whose sum is σ = 687777794. Its totient is φ = 306942048.

The previous prime is 460413143. The next prime is 460413197. The reversal of 460413153 is 351314064.

460413153 is a `hidden beast` number, since 4 + 604 + 1 + 3 + 1 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 383885649 + 76527504 = 19593^2 + 8748^2 .

It is not a de Polignac number, because 460413153 - 212 = 460409057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460413143) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2841976 + ... + 2842137.

Almost surely, 2460413153 is an apocalyptic number.

It is an amenable number.

460413153 is a deficient number, since it is larger than the sum of its proper divisors (227364641).

460413153 is an equidigital number, since it uses as much as digits as its factorization.

460413153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684125 (or 5684116 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 460413153 is about 21457.2401067798. The cubic root of 460413153 is about 772.1753032638.

It can be divided in two parts, 46041 and 3153, that added together give a palindrome (49194).

The spelling of 460413153 in words is "four hundred sixty million, four hundred thirteen thousand, one hundred fifty-three".

Divisors: 1 3 9 27 81 5684113 17052339 51157017 153471051 460413153