Search a number
-
+
3003975 = 325213279
BaseRepresentation
bin1011011101011001000111
312122121200100
423131121013
51232111400
6144215143
734350642
oct13353107
95577610
103003975
111771a27
12100a4b3
13812400
14582a59
153e5100
hex2dd647

3003975 has 54 divisors (see below), whose sum is σ = 5899920. Its totient is φ = 1460160.

The previous prime is 3003971. The next prime is 3003977. The reversal of 3003975 is 5793003.

It is not a de Polignac number, because 3003975 - 22 = 3003971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003971) 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 53 ways as a sum of consecutive naturals, for example, 37986 + ... + 38064.

Almost surely, 23003975 is an apocalyptic number.

3003975 is a deficient number, since it is larger than the sum of its proper divisors (2895945).

3003975 is a wasteful number, since it uses less digits than its factorization.

3003975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 3003975 is about 1733.1979113765. The cubic root of 3003975 is about 144.2886282736.

Adding to 3003975 its reverse (5793003), we get a palindrome (8796978).

The spelling of 3003975 in words is "three million, three thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 79 117 169 195 225 237 325 395 507 585 711 845 975 1027 1185 1521 1975 2535 2925 3081 3555 4225 5135 5925 7605 9243 12675 13351 15405 17775 25675 38025 40053 46215 66755 77025 120159 200265 231075 333775 600795 1001325 3003975