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490758660 = 2232571372843
BaseRepresentation
bin11101010000000…
…110001000000100
31021012110010022200
4131100012020010
52001113234120
6120410354500
715106244160
oct3520061004
91235403280
10490758660
11232025277
1211842ba30
137a89a952
144926bca0
152d13ee90
hex1d406204

490758660 has 144 divisors (see below), whose sum is σ = 1714317696. Its totient is φ = 111315456.

The previous prime is 490758629. The next prime is 490758701. The reversal of 490758660 is 66857094.

490758660 is a `hidden beast` number, since 4 + 9 + 0 + 7 + 586 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171199 + ... + 174041.

It is an arithmetic number, because the mean of its divisors is an integer number (11904984).

Almost surely, 2490758660 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 490758660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857158848).

490758660 is an abundant number, since it is smaller than the sum of its proper divisors (1223559036).

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

490758660 is a wasteful number, since it uses less digits than its factorization.

490758660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 490758660 is about 22153.0733759449. The cubic root of 490758660 is about 788.7801823219.

The spelling of 490758660 in words is "four hundred ninety million, seven hundred fifty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 137 140 180 210 252 274 315 411 420 548 630 685 822 959 1233 1260 1370 1644 1918 2055 2466 2740 2843 2877 3836 4110 4795 4932 5686 5754 6165 8220 8529 8631 9590 11372 11508 12330 14215 14385 17058 17262 19180 19901 24660 25587 28430 28770 34116 34524 39802 42645 43155 51174 56860 57540 59703 79604 85290 86310 99505 102348 119406 127935 170580 172620 179109 199010 238812 255870 298515 358218 389491 398020 511740 597030 716436 778982 895545 1168473 1194060 1557964 1791090 1947455 2336946 2726437 3505419 3582180 3894910 4673892 5452874 5842365 7010838 7789820 8179311 10905748 11684730 13632185 14021676 16358622 17527095 23369460 24537933 27264370 32717244 35054190 40896555 49075866 54528740 70108380 81793110 98151732 122689665 163586220 245379330 490758660