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3113220 = 2235115389
BaseRepresentation
bin1011111000000100000100
312212011112110
423320010010
51244110340
6150421020
735314305
oct13700404
95764473
103113220
111837010
121061770
13850056
145b07ac
15417680
hex2f8104

3113220 has 96 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 732160.

The previous prime is 3113213. The next prime is 3113221. The reversal of 3113220 is 223113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3113196 and 3113205.

It is not an unprimeable number, because it can be changed into a prime (3113221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34936 + ... + 35024.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

Almost surely, 23113220 is an apocalyptic number.

3113220 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 3113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

3113220 is an abundant number, since it is smaller than the sum of its proper divisors (6684540).

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

3113220 is a wasteful number, since it uses less digits than its factorization.

3113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3113220 is about 1764.4319199108. The cubic root of 3113220 is about 146.0169493052.

Adding to 3113220 its reverse (223113), we get a palindrome (3336333).

It can be divided in two parts, 3113 and 220, that added together give a palindrome (3333).

The spelling of 3113220 in words is "three million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 89 106 110 132 159 165 178 212 220 265 267 318 330 356 445 530 534 583 636 660 795 890 979 1060 1068 1166 1335 1590 1749 1780 1958 2332 2670 2915 2937 3180 3498 3916 4717 4895 5340 5830 5874 6996 8745 9434 9790 11660 11748 14151 14685 17490 18868 19580 23585 28302 29370 34980 47170 51887 56604 58740 70755 94340 103774 141510 155661 207548 259435 283020 311322 518870 622644 778305 1037740 1556610 3113220