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3102820 = 225737599
BaseRepresentation
bin1011110101100001100100
312211122021021
423311201210
51243242240
6150300524
735242060
oct13654144
95748237
103102820
11182a216
121057744
138483b6
145aaaa0
1541454a
hex2f5864

3102820 has 48 divisors (see below), whose sum is σ = 7660800. Its totient is φ = 1033344.

The previous prime is 3102817. The next prime is 3102829. The reversal of 3102820 is 282013.

It is a happy number.

3102820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3102794 and 3102803.

It is not an unprimeable number, because it can be changed into a prime (3102829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4881 + ... + 5479.

It is an arithmetic number, because the mean of its divisors is an integer number (159600).

Almost surely, 23102820 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 3102820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830400).

3102820 is an abundant number, since it is smaller than the sum of its proper divisors (4557980).

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

3102820 is a wasteful number, since it uses less digits than its factorization.

3102820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3102820 is about 1761.4823303116. The cubic root of 3102820 is about 145.8541735296.

Adding to 3102820 its reverse (282013), we get a palindrome (3384833).

It can be divided in two parts, 3102 and 820, that multiplied together give a triangular number (2543640 = T2255).

The spelling of 3102820 in words is "three million, one hundred two thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 599 740 1036 1198 1295 2396 2590 2995 4193 5180 5990 8386 11980 16772 20965 22163 41930 44326 83860 88652 110815 155141 221630 310282 443260 620564 775705 1551410 3102820