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490116 = 223114779
BaseRepresentation
bin1110111101010000100
3220220022110
41313222010
5111140431
614301020
74110624
oct1675204
9826273
10490116
11305260
121b7770
13142113
14ca884
159a346
hex77a84

490116 has 48 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 143520.

The previous prime is 490111. The next prime is 490117. The reversal of 490116 is 611094.

490116 = T293 + T294 + ... + T303.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 490092 and 490101.

It is not an unprimeable number, because it can be changed into a prime (490111) by changing a digit.

490116 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 15 ways as a sum of consecutive naturals, for example, 6165 + ... + 6243.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

2490116 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 490116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

490116 is an abundant number, since it is smaller than the sum of its proper divisors (800124).

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

490116 is a wasteful number, since it uses less digits than its factorization.

490116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 490116 is about 700.0828522396. The cubic root of 490116 is about 78.8435723190.

It can be divided in two parts, 490 and 116, that added together give a palindrome (606).

The spelling of 490116 in words is "four hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 79 94 132 141 158 188 237 282 316 474 517 564 869 948 1034 1551 1738 2068 2607 3102 3476 3713 5214 6204 7426 10428 11139 14852 22278 40843 44556 81686 122529 163372 245058 490116