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482190660 = 2232573710343
BaseRepresentation
bin11100101111011…
…010010101000100
31020121022211020100
4130233122111010
51441420100120
6115503004100
714643360450
oct3457322504
91217284210
10482190660
11228202a86
12115599630
1378b8ab23
144807b660
152c4eb490
hex1cbda544

482190660 has 144 divisors (see below), whose sum is σ = 1716938496. Its totient is φ = 107225856.

The previous prime is 482190659. The next prime is 482190677. The reversal of 482190660 is 66091284.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 41449 + ... + 51791.

It is an arithmetic number, because the mean of its divisors is an integer number (11923184).

Almost surely, 2482190660 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 482190660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858469248).

482190660 is an abundant number, since it is smaller than the sum of its proper divisors (1234747836).

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

482190660 is a wasteful number, since it uses less digits than its factorization.

482190660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 482190660 is about 21958.8401333039. The cubic root of 482190660 is about 784.1628518602.

It can be divided in two parts, 4821 and 90660, that added together give a square (95481 = 3092).

The spelling of 482190660 in words is "four hundred eighty-two million, one hundred ninety thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 6660 7770 9324 10343 11655 15540 20686 23310 31029 41372 46620 51715 62058 72401 93087 103430 124116 144802 155145 186174 206860 217203 289604 310290 362005 372348 382691 434406 465435 620580 651609 724010 765382 868812 930870 1086015 1148073 1303218 1448020 1530764 1861740 1913455 2172030 2296146 2606436 2678837 3258045 3444219 3826910 4344060 4592292 5357674 5740365 6516090 6888438 7653820 8036511 10715348 11480730 13032180 13394185 13776876 16073022 17221095 22961460 24109533 26788370 32146044 34442190 40182555 48219066 53576740 68884380 80365110 96438132 120547665 160730220 241095330 482190660