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460130432 = 2717211457
BaseRepresentation
bin11011011011010…
…000100010000000
31012001211001021212
4123123100202000
51420243133212
6113354105252
714255021066
oct3333204200
91161731255
10460130432
11216805893
1210a11b228
1374435a38
1445178036
152a5dee22
hex1b6d0880

460130432 has 32 divisors (see below), whose sum is σ = 970592220. Its totient is φ = 216530944.

The previous prime is 460130431. The next prime is 460130441. The reversal of 460130432 is 234031064.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 453860416 + 6270016 = 21304^2 + 2504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 460130398 and 460130407.

It is not an unprimeable number, because it can be changed into a prime (460130431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103553 + ... + 107904.

Almost surely, 2460130432 is an apocalyptic number.

It is an amenable number.

460130432 is an abundant number, since it is smaller than the sum of its proper divisors (510461788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460130432 is a wasteful number, since it uses less digits than its factorization.

460130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211488 (or 211476 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 460130432 is about 21450.6510856897. The cubic root of 460130432 is about 772.0172170805.

Adding to 460130432 its reverse (234031064), we get a palindrome (694161496).

The spelling of 460130432 in words is "four hundred sixty million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 211457 422914 845828 1691656 3383312 3594769 6766624 7189538 13533248 14379076 27066496 28758152 57516304 115032608 230065216 460130432