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5006500 = 2253171931
BaseRepresentation
bin10011000110010010100100
3100102100121221
4103012102210
52240202000
6255150124
760361132
oct23062244
910370557
105006500
11290a504
121815344
131063a35
14944752
1568d61a
hex4c64a4

5006500 has 96 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 1728000.

The previous prime is 5006497. The next prime is 5006501. The reversal of 5006500 is 56005.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5006501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161485 + ... + 161515.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 25006500 is an apocalyptic number.

5006500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

5006500 is an abundant number, since it is smaller than the sum of its proper divisors (7573340).

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

5006500 is a wasteful number, since it uses less digits than its factorization.

5006500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 5006500 is about 2237.5209496226. The cubic root of 5006500 is about 171.0716615390.

The spelling of 5006500 in words is "five million, six thousand, five hundred".

Divisors: 1 2 4 5 10 17 19 20 25 31 34 38 50 62 68 76 85 95 100 124 125 155 170 190 250 310 323 340 380 425 475 500 527 589 620 646 775 850 950 1054 1178 1292 1550 1615 1700 1900 2108 2125 2356 2375 2635 2945 3100 3230 3875 4250 4750 5270 5890 6460 7750 8075 8500 9500 10013 10540 11780 13175 14725 15500 16150 20026 26350 29450 32300 40052 40375 50065 52700 58900 65875 73625 80750 100130 131750 147250 161500 200260 250325 263500 294500 500650 1001300 1251625 2503250 5006500