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460213681 = 1753736997
BaseRepresentation
bin11011011011100…
…100110110110001
31012001222021111011
4123123210312301
51420303314211
6113355550521
714255515564
oct3333446661
91161867434
10460213681
11216862394
1210a15b441
13744648b5
144519a4db
152a609921
hex1b6e4db1

460213681 has 16 divisors (see below), whose sum is σ = 503352144. Its totient is φ = 419088384.

The previous prime is 460213679. The next prime is 460213703. The reversal of 460213681 is 186312064.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18835600 + 441378081 = 4340^2 + 21009^2 .

It is not a de Polignac number, because 460213681 - 21 = 460213679 is a prime.

It is a super-2 number, since 2×4602136812 = 423593264359139522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460213081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 62275 + ... + 69271.

It is an arithmetic number, because the mean of its divisors is an integer number (31459509).

Almost surely, 2460213681 is an apocalyptic number.

It is an amenable number.

460213681 is a deficient number, since it is larger than the sum of its proper divisors (43138463).

460213681 is a wasteful number, since it uses less digits than its factorization.

460213681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7140.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 460213681 is about 21452.5914751575. The cubic root of 460213681 is about 772.0637732895.

The spelling of 460213681 in words is "four hundred sixty million, two hundred thirteen thousand, six hundred eighty-one".

Divisors: 1 17 53 73 901 1241 3869 6997 65773 118949 370841 510781 6304297 8683277 27071393 460213681