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5006340 = 2233573127
BaseRepresentation
bin10011000110010000000100
3100102100102000
4103012100010
52240200330
6255145300
760360513
oct23062004
910370360
105006340
11290a379
121815230
131063941
1494467a
1568d560
hex4c6404

5006340 has 96 divisors (see below), whose sum is σ = 15912960. Its totient is φ = 1306368.

The previous prime is 5006317. The next prime is 5006369. The reversal of 5006340 is 436005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39357 + ... + 39483.

It is an arithmetic number, because the mean of its divisors is an integer number (165760).

Almost surely, 25006340 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 5006340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956480).

5006340 is an abundant number, since it is smaller than the sum of its proper divisors (10906620).

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

5006340 is a wasteful number, since it uses less digits than its factorization.

5006340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5006340 is about 2237.4851954817. The cubic root of 5006340 is about 171.0698391243.

The spelling of 5006340 in words is "five million, six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 127 135 146 180 219 254 270 292 365 381 438 508 540 635 657 730 762 876 1095 1143 1270 1314 1460 1524 1905 1971 2190 2286 2540 2628 3285 3429 3810 3942 4380 4572 5715 6570 6858 7620 7884 9271 9855 11430 13140 13716 17145 18542 19710 22860 27813 34290 37084 39420 46355 55626 68580 83439 92710 111252 139065 166878 185420 250317 278130 333756 417195 500634 556260 834390 1001268 1251585 1668780 2503170 5006340