Search a number
-
+
460116 = 223212781
BaseRepresentation
bin1110000010101010100
3212101011100
41300111110
5104210431
613510100
73624306
oct1602524
9771140
10460116
11294768
121a2330
13131577
14bd976
15914e6
hex70554

460116 has 18 divisors (see below), whose sum is σ = 1163162. Its totient is φ = 153360.

The previous prime is 460111. The next prime is 460127. The reversal of 460116 is 611064.

It can be written as a sum of positive squares in only one way, i.e., 427716 + 32400 = 654^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460111) by changing a digit.

460116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6355 + ... + 6426.

2460116 is an apocalyptic number.

It is an amenable number.

460116 is an abundant number, since it is smaller than the sum of its proper divisors (703046).

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

460116 is a wasteful number, since it uses less digits than its factorization.

460116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12791 (or 12786 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 460116 is about 678.3185092565. The cubic root of 460116 is about 77.2009145551.

It can be divided in two parts, 460 and 116, that added together give a square (576 = 242).

The spelling of 460116 in words is "four hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 12781 25562 38343 51124 76686 115029 153372 230058 460116