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3112020 = 2234517113
BaseRepresentation
bin1011110111110001010100
312212002220000
423313301110
51244041040
6150411300
735310642
oct13676124
95762800
103112020
11183611a
121060b30
1384c642
145b0192
15417130
hex2f7c54

3112020 has 120 divisors (see below), whose sum is σ = 10428264. Its totient is φ = 774144.

The previous prime is 3112007. The next prime is 3112069. The reversal of 3112020 is 202113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 3048516 = 252^2 + 1746^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3111993 and 3112011.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 27484 + ... + 27596.

Almost surely, 23112020 is an apocalyptic number.

3112020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214132).

3112020 is an abundant number, since it is smaller than the sum of its proper divisors (7316244).

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

3112020 is a wasteful number, since it uses less digits than its factorization.

3112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3112020 is about 1764.0918343442. The cubic root of 3112020 is about 145.9981860036.

Adding to 3112020 its reverse (202113), we get a palindrome (3314133).

The spelling of 3112020 in words is "three million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 113 135 153 162 170 180 204 226 255 270 306 324 339 340 405 452 459 510 540 565 612 678 765 810 918 1017 1020 1130 1356 1377 1530 1620 1695 1836 1921 2034 2260 2295 2754 3051 3060 3390 3842 4068 4590 5085 5508 5763 6102 6780 6885 7684 9153 9180 9605 10170 11526 12204 13770 15255 17289 18306 19210 20340 23052 27540 28815 30510 34578 36612 38420 45765 51867 57630 61020 69156 86445 91530 103734 115260 155601 172890 183060 207468 259335 311202 345780 518670 622404 778005 1037340 1556010 3112020