Search a number
-
+
460131872 = 2514379121
BaseRepresentation
bin11011011011010…
…000111000100000
31012001211010021012
4123123100320200
51420243204442
6113354120052
714255025224
oct3333207040
91161733235
10460131872
11216806982
1210a120028
13744365a5
1445178784
152a5e0582
hex1b6d0e20

460131872 has 12 divisors (see below), whose sum is σ = 905884686. Its totient is φ = 230065920.

The previous prime is 460131871. The next prime is 460131887. The reversal of 460131872 is 278131064.

It can be written as a sum of positive squares in only one way, i.e., 377758096 + 82373776 = 19436^2 + 9076^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 14379121 = 460131872 / (4 + 6 + 0 + 1 + 3 + 1 + 8 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (460131871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7189529 + ... + 7189592.

Almost surely, 2460131872 is an apocalyptic number.

It is an amenable number.

460131872 is a deficient number, since it is larger than the sum of its proper divisors (445752814).

460131872 is a wasteful number, since it uses less digits than its factorization.

460131872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14379131 (or 14379123 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 460131872 is about 21450.6846510782. The cubic root of 460131872 is about 772.0180224345.

The spelling of 460131872 in words is "four hundred sixty million, one hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 14379121 28758242 57516484 115032968 230065936 460131872