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460128 = 2534793
BaseRepresentation
bin1110000010101100000
3212101011210
41300111200
5104211003
613510120
73624324
oct1602540
9771153
10460128
11294779
121a2340
13131586
14bd984
1591503
hex70560

460128 has 24 divisors (see below), whose sum is σ = 1208088. Its totient is φ = 153344.

The previous prime is 460127. The next prime is 460147. The reversal of 460128 is 821064.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2301 + ... + 2492.

It is an arithmetic number, because the mean of its divisors is an integer number (50337).

2460128 is an apocalyptic number.

460128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

460128 is an abundant number, since it is smaller than the sum of its proper divisors (747960).

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

460128 is a wasteful number, since it uses less digits than its factorization.

460128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 460128 is about 678.3273546010. The cubic root of 460128 is about 77.2015856923.

The spelling of 460128 in words is "four hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4793 9586 14379 19172 28758 38344 57516 76688 115032 153376 230064 460128