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3002020 = 225741523
BaseRepresentation
bin1011011100111010100100
312122111222221
423130322210
51232031040
6144202124
734342150
oct13347244
95574887
103002020
11177050a
121009344
13811558
14582060
153e474a
hex2dcea4

3002020 has 48 divisors (see below), whose sum is σ = 7394688. Its totient is φ = 1002240.

The previous prime is 3002003. The next prime is 3002039. The reversal of 3002020 is 202003.

It is a Harshad number since it is a multiple of its sum of digits (7).

3002020 is a modest number, since divided by 2020 gives 300 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3001994 and 3002012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5479 + ... + 6001.

It is an arithmetic number, because the mean of its divisors is an integer number (154056).

Almost surely, 23002020 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 3002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697344).

3002020 is an abundant number, since it is smaller than the sum of its proper divisors (4392668).

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

3002020 is a wasteful number, since it uses less digits than its factorization.

3002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 3002020 is about 1732.6338332146. The cubic root of 3002020 is about 144.2573202584.

Adding to 3002020 its reverse (202003), we get a palindrome (3204023).

The spelling of 3002020 in words is "three million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 523 574 820 1046 1148 1435 2092 2615 2870 3661 5230 5740 7322 10460 14644 18305 21443 36610 42886 73220 85772 107215 150101 214430 300202 428860 600404 750505 1501010 3002020