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6022120 = 2351337313
BaseRepresentation
bin10110111110001111101000
3102022221210111
4112332033220
53020201440
6333024104
7102121126
oct26761750
912287714
106022120
113443565
122025034
13132b0b0
14b2a916
157de4ea
hex5be3e8

6022120 has 64 divisors (see below), whose sum is σ = 15034320. Its totient is φ = 2156544.

The previous prime is 6022117. The next prime is 6022123. The reversal of 6022120 is 212206.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6022117) and next prime (6022123).

It can be written as a sum of positive squares in 8 ways, for example, as 887364 + 5134756 = 942^2 + 2266^2 .

It is a super-3 number, since 3×60221203 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 6022120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6022123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19084 + ... + 19396.

Almost surely, 26022120 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 6022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517160).

6022120 is an abundant number, since it is smaller than the sum of its proper divisors (9012200).

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

6022120 is a wasteful number, since it uses less digits than its factorization.

6022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 6022120 is about 2454.0008149958. Note that the first 3 decimals coincide. The cubic root of 6022120 is about 181.9350893588.

Adding to 6022120 its reverse (212206), we get a palindrome (6234326).

The spelling of 6022120 in words is "six million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 313 370 481 520 626 740 962 1252 1480 1565 1924 2405 2504 3130 3848 4069 4810 6260 8138 9620 11581 12520 16276 19240 20345 23162 32552 40690 46324 57905 81380 92648 115810 150553 162760 231620 301106 463240 602212 752765 1204424 1505530 3011060 6022120