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490980 = 223572167
BaseRepresentation
bin1110111110111100100
3220221111110
41313313210
5111202410
614305020
74113300
oct1676744
9827443
10490980
11305976
121b8170
13142629
14cad00
159a720
hex77de4

490980 has 72 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 111552.

The previous prime is 490969. The next prime is 490991. The reversal of 490980 is 89094.

It is an interprime number because it is at equal distance from previous prime (490969) and next prime (490991).

It is a super-2 number, since 2×4909802 = 482122720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

490980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 23 ways as a sum of consecutive naturals, for example, 2857 + ... + 3023.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2490980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384).

490980 is an abundant number, since it is smaller than the sum of its proper divisors (1117788).

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

490980 is a wasteful number, since it uses less digits than its factorization.

490980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 490980 is about 700.6996503496. The cubic root of 490980 is about 78.8898748655.

The spelling of 490980 in words is "four hundred ninety thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 167 196 210 245 294 334 420 490 501 588 668 735 835 980 1002 1169 1470 1670 2004 2338 2505 2940 3340 3507 4676 5010 5845 7014 8183 10020 11690 14028 16366 17535 23380 24549 32732 35070 40915 49098 70140 81830 98196 122745 163660 245490 490980