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5003145 = 325722269
BaseRepresentation
bin10011000101011110001001
3100102012000200
4103011132021
52240100040
6255122413
760345300
oct23053611
910365020
105003145
112907a34
121813409
131062354
14943437
1568c630
hex4c5789

5003145 has 36 divisors (see below), whose sum is σ = 10092420. Its totient is φ = 2286144.

The previous prime is 5003143. The next prime is 5003191. The reversal of 5003145 is 5413005.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 4149369 = 924^2 + 2037^2 .

It is not a de Polignac number, because 5003145 - 21 = 5003143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5003143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1071 + ... + 3339.

It is an arithmetic number, because the mean of its divisors is an integer number (280345).

Almost surely, 25003145 is an apocalyptic number.

It is an amenable number.

5003145 is an abundant number, since it is smaller than the sum of its proper divisors (5089275).

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

5003145 is a wasteful number, since it uses less digits than its factorization.

5003145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5003145 is about 2236.7711103285. The cubic root of 5003145 is about 171.0334396489.

The spelling of 5003145 in words is "five million, three thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 2269 6807 11345 15883 20421 34035 47649 79415 102105 111181 142947 238245 333543 555905 714735 1000629 1667715 5003145