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3002120 = 235116823
BaseRepresentation
bin1011011100111100001000
312122112010122
423130330020
51232031440
6144202412
734342352
oct13347410
95575118
103002120
1117705a0
121009408
13811604
145820d2
153e47b5
hex2dcf08

3002120 has 32 divisors (see below), whose sum is σ = 7369920. Its totient is φ = 1091520.

The previous prime is 3002117. The next prime is 3002123. The reversal of 3002120 is 212003.

3002120 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3002117) and next prime (3002123).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 3002098 and 3002107.

It is not an unprimeable number, because it can be changed into a prime (3002123) 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 7 ways as a sum of consecutive naturals, for example, 2972 + ... + 3851.

It is an arithmetic number, because the mean of its divisors is an integer number (230310).

Almost surely, 23002120 is an apocalyptic number.

It is an amenable number.

3002120 is an abundant number, since it is smaller than the sum of its proper divisors (4367800).

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

3002120 is a wasteful number, since it uses less digits than its factorization.

3002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6845 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 3002120 is about 1732.6626907739. The cubic root of 3002120 is about 144.2589220212.

Adding to 3002120 its reverse (212003), we get a palindrome (3214123).

The spelling of 3002120 in words is "three million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 6823 13646 27292 34115 54584 68230 75053 136460 150106 272920 300212 375265 600424 750530 1501060 3002120