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460072631 = 1945615309
BaseRepresentation
bin11011011011000…
…010011010110111
31012001201010000002
4123123002122313
51420234311011
6113352541515
714254360424
oct3333023267
91161633002
10460072631
11216776417
1210a0b189b
1374415635
1445160d4b
152a5ccc3b
hex1b6c26b7

460072631 has 8 divisors (see below), whose sum is σ = 484484400. Its totient is φ = 435680640.

The previous prime is 460072621. The next prime is 460072651. The reversal of 460072631 is 136270064.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 460072631 - 218 = 459810487 is a prime.

It is a super-2 number, since 2×4600726312 = 423333651590524322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 460072594 and 460072603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460072621) 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 7 ways as a sum of consecutive naturals, for example, 84005 + ... + 89313.

It is an arithmetic number, because the mean of its divisors is an integer number (60560550).

Almost surely, 2460072631 is an apocalyptic number.

460072631 is a deficient number, since it is larger than the sum of its proper divisors (24411769).

460072631 is a wasteful number, since it uses less digits than its factorization.

460072631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889.

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 460072631 is about 21449.3037416136. The cubic root of 460072631 is about 771.9848891196.

The spelling of 460072631 in words is "four hundred sixty million, seventy-two thousand, six hundred thirty-one".

Divisors: 1 19 4561 5309 86659 100871 24214349 460072631