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3012680 = 2351141167
BaseRepresentation
bin1011011111100001001000
312200001121202
423133201020
51232401210
6144323332
734415216
oct13374110
95601552
103012680
111778520
121013548
13816368
14585cb6
153e79a5
hex2df848

3012680 has 64 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 1062400.

The previous prime is 3012649. The next prime is 3012683. The reversal of 3012680 is 862103.

3012680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3012683) 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, 17957 + ... + 18123.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

Almost surely, 23012680 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 3012680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

3012680 is an abundant number, since it is smaller than the sum of its proper divisors (4607800).

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

3012680 is a wasteful number, since it uses less digits than its factorization.

3012680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3012680 is about 1735.7073486046. The cubic root of 3012680 is about 144.4278683586.

Adding to 3012680 its reverse (862103), we get a palindrome (3874783).

The spelling of 3012680 in words is "three million, twelve thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 167 205 220 328 334 410 440 451 668 820 835 902 1336 1640 1670 1804 1837 2255 3340 3608 3674 4510 6680 6847 7348 9020 9185 13694 14696 18040 18370 27388 34235 36740 54776 68470 73480 75317 136940 150634 273880 301268 376585 602536 753170 1506340 3012680