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6002020 = 22517127139
BaseRepresentation
bin10110111001010101100100
3102021221020001
4112321111210
53014031040
6332351044
7102005413
oct26712544
912257201
106002020
11342a452
122015484
131321bbb
14b2347a
157d859a
hex5b9564

6002020 has 48 divisors (see below), whose sum is σ = 13547520. Its totient is φ = 2225664.

The previous prime is 6001997. The next prime is 6002033. The reversal of 6002020 is 202006.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

6002020 is a modest number, since divided by 2020 gives 600 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 6001988 and 6002006.

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, 43111 + ... + 43249.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 26002020 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 6002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

6002020 is an abundant number, since it is smaller than the sum of its proper divisors (7545500).

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

6002020 is a wasteful number, since it uses less digits than its factorization.

6002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 6002020 is about 2449.9020388579. The cubic root of 6002020 is about 181.7324491263.

Adding to 6002020 its reverse (202006), we get a palindrome (6204026).

The spelling of 6002020 in words is "six million, two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 139 170 254 278 340 508 556 635 695 1270 1390 2159 2363 2540 2780 4318 4726 8636 9452 10795 11815 17653 21590 23630 35306 43180 47260 70612 88265 176530 300101 353060 600202 1200404 1500505 3001010 6002020