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3000075 = 3521317181
BaseRepresentation
bin1011011100011100001011
312122102022220
423130130023
51232000300
6144145123
734333401
oct13343413
95572286
103000075
11176a001
1210081a3
138106c0
14581471
153e3da0
hex2dc70b

3000075 has 48 divisors (see below), whose sum is σ = 5687136. Its totient is φ = 1382400.

The previous prime is 3000073. The next prime is 3000077. The reversal of 3000075 is 5700003.

It is an interprime number because it is at equal distance from previous prime (3000073) and next prime (3000077).

It is not a de Polignac number, because 3000075 - 21 = 3000073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

3000075 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16485 + ... + 16665.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

Almost surely, 23000075 is an apocalyptic number.

3000075 is a deficient number, since it is larger than the sum of its proper divisors (2687061).

3000075 is a wasteful number, since it uses less digits than its factorization.

3000075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 3000075 is about 1732.0724580687. The cubic root of 3000075 is about 144.2261588954.

Adding to 3000075 its reverse (5700003), we get a palindrome (8700078).

It can be divided in two parts, 30000 and 75, that multiplied together give a square (2250000 = 15002).

The spelling of 3000075 in words is "three million, seventy-five", and thus it is an aban number and an uban number.

Divisors: 1 3 5 13 15 17 25 39 51 65 75 85 181 195 221 255 325 425 543 663 905 975 1105 1275 2353 2715 3077 3315 4525 5525 7059 9231 11765 13575 15385 16575 35295 40001 46155 58825 76925 120003 176475 200005 230775 600015 1000025 3000075