Search a number
-
+
490160 = 24511557
BaseRepresentation
bin1110111101010110000
3220220101002
41313222300
5111141120
614301132
74111016
oct1675260
9826332
10490160
113052a0
121b77a8
13142148
14ca8b6
159a375
hex77ab0

490160 has 40 divisors (see below), whose sum is σ = 1245456. Its totient is φ = 177920.

The previous prime is 490159. The next prime is 490169. The reversal of 490160 is 61094.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (490169) 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 7 ways as a sum of consecutive naturals, for example, 602 + ... + 1158.

2490160 is an apocalyptic number.

490160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622728).

490160 is an abundant number, since it is smaller than the sum of its proper divisors (755296).

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

490160 is a wasteful number, since it uses less digits than its factorization.

490160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 490160 is about 700.1142763864. The cubic root of 490160 is about 78.8459316335.

It can be divided in two parts, 490 and 160, that multiplied together give a square (78400 = 2802).

The spelling of 490160 in words is "four hundred ninety thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 557 880 1114 2228 2785 4456 5570 6127 8912 11140 12254 22280 24508 30635 44560 49016 61270 98032 122540 245080 490160