Search a number
-
+
6066450 = 23252131761
BaseRepresentation
bin10111001001000100010010
3102102012121100
4113021010102
53023111300
6334005230
7102364305
oct27110422
912365540
106066450
1134738a5
122046816
131345320
14b3cb3c
157ec700
hex5c9112

6066450 has 144 divisors (see below), whose sum is σ = 18889416. Its totient is φ = 1382400.

The previous prime is 6066449. The next prime is 6066469. The reversal of 6066450 is 546606.

6066450 is a `hidden beast` number, since 606 + 6 + 4 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 59049 + 6007401 = 243^2 + 2451^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99420 + ... + 99480.

Almost surely, 26066450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444708).

6066450 is an abundant number, since it is smaller than the sum of its proper divisors (12822966).

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

6066450 is a wasteful number, since it uses less digits than its factorization.

6066450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6066450 is about 2463.0164433069. The cubic root of 6066450 is about 182.3804183157.

It can be divided in two parts, 606 and 6450, that added together give a square (7056 = 842).

The spelling of 6066450 in words is "six million, sixty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 25 26 30 34 39 45 50 51 61 65 75 78 85 90 102 117 122 130 150 153 170 183 195 221 225 234 255 305 306 325 366 390 425 442 450 510 549 585 610 650 663 765 793 850 915 975 1037 1098 1105 1170 1275 1326 1525 1530 1586 1830 1950 1989 2074 2210 2379 2550 2745 2925 3050 3111 3315 3825 3965 3978 4575 4758 5185 5490 5525 5850 6222 6630 7137 7650 7930 9150 9333 9945 10370 11050 11895 13481 13725 14274 15555 16575 18666 19825 19890 23790 25925 26962 27450 31110 33150 35685 39650 40443 46665 49725 51850 59475 67405 71370 77775 80886 93330 99450 118950 121329 134810 155550 178425 202215 233325 242658 337025 356850 404430 466650 606645 674050 1011075 1213290 2022150 3033225 6066450