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6009066 = 23472757
BaseRepresentation
bin10110111011000011101010
3102022021220000
4112323003222
53014242231
6332443430
7102035100
oct26730352
912267800
106009066
113434778
122019576
13132517b
14b25c70
157da6e6
hex5bb0ea

6009066 has 60 divisors (see below), whose sum is σ = 15683778. Its totient is φ = 1714608.

The previous prime is 6009037. The next prime is 6009067. The reversal of 6009066 is 6609006.

It can be written as a sum of positive squares in only one way, i.e., 4862025 + 1147041 = 2205^2 + 1071^2 .

It is a super-2 number, since 2×60090662 = 72217748384712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6009067) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 7560 + ... + 8316.

Almost surely, 26009066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6009066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841889).

6009066 is an abundant number, since it is smaller than the sum of its proper divisors (9674712).

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

6009066 is a wasteful number, since it uses less digits than its factorization.

6009066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 6009066 is about 2451.3396337513. The cubic root of 6009066 is about 181.8035355323.

The spelling of 6009066 in words is "six million, nine thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 757 882 1134 1323 1514 2271 2646 3969 4542 5299 6813 7938 10598 13626 15897 20439 31794 37093 40878 47691 61317 74186 95382 111279 122634 143073 222558 286146 333837 429219 667674 858438 1001511 2003022 3004533 6009066