Search a number
-
+
6009738 = 2371719443
BaseRepresentation
bin10110111011001110001010
3102022022210220
4112323032022
53014302423
6332450510
7102040050
oct26731612
912268726
106009738
113435229
122019a36
131325577
14b261d0
157da9e3
hex5bb38a

6009738 has 64 divisors (see below), whose sum is σ = 15344640. Its totient is φ = 1527552.

The previous prime is 6009737. The next prime is 6009761. The reversal of 6009738 is 8379006.

It is a happy number.

It is a super-2 number, since 2×60097382 = 72233901657288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6009699 and 6009708.

It is not an unprimeable number, because it can be changed into a prime (6009733) 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 31 ways as a sum of consecutive naturals, for example, 13345 + ... + 13787.

It is an arithmetic number, because the mean of its divisors is an integer number (239760).

Almost surely, 26009738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6009738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672320).

6009738 is an abundant number, since it is smaller than the sum of its proper divisors (9334902).

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

6009738 is a wasteful number, since it uses less digits than its factorization.

6009738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 6009738 is about 2451.4766978293. The cubic root of 6009738 is about 181.8103123715.

The spelling of 6009738 in words is "six million, nine thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 443 646 714 798 886 969 1329 1938 2261 2658 3101 4522 6202 6783 7531 8417 9303 13566 15062 16834 18606 22593 25251 45186 50502 52717 58919 105434 117838 143089 158151 176757 286178 316302 353514 429267 858534 1001623 2003246 3004869 6009738