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460630431 = 32251203909
BaseRepresentation
bin11011011101001…
…010100110011111
31012002202110011100
4123131022212133
51420410133211
6113412524143
714262202602
oct3335124637
91162673140
10460630431
11217017508
1210a320653
137457c4b1
1445268339
152a68d156
hex1b74a99f

460630431 has 12 divisors (see below), whose sum is σ = 668009160. Its totient is φ = 305862000.

The previous prime is 460630369. The next prime is 460630493. The reversal of 460630431 is 134036064.

It is an interprime number because it is at equal distance from previous prime (460630369) and next prime (460630493).

It is not a de Polignac number, because 460630431 - 29 = 460629919 is a prime.

It is a super-2 number, since 2×4606304312 = 424360787926491522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 460630395 and 460630404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460630931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99696 + ... + 104213.

It is an arithmetic number, because the mean of its divisors is an integer number (55667430).

Almost surely, 2460630431 is an apocalyptic number.

460630431 is a deficient number, since it is larger than the sum of its proper divisors (207378729).

460630431 is a wasteful number, since it uses less digits than its factorization.

460630431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204166 (or 204163 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 460630431 is about 21462.3025558769. The cubic root of 460630431 is about 772.2967523862.

Adding to 460630431 its reverse (134036064), we get a palindrome (594666495).

The spelling of 460630431 in words is "four hundred sixty million, six hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 251 753 2259 203909 611727 1835181 51181159 153543477 460630431