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3006990 = 233573743
BaseRepresentation
bin1011011110001000001110
312122202211000
423132020032
51232210430
6144241130
734362510
oct13361016
95582730
103006990
111774218
1210101a6
138138ac
14583bb0
153e5e60
hex2de20e

3006990 has 128 divisors (see below), whose sum is σ = 9630720. Its totient is φ = 653184.

The previous prime is 3006989. The next prime is 3007001. The reversal of 3006990 is 996003.

3006990 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 (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 69909 + ... + 69951.

It is an arithmetic number, because the mean of its divisors is an integer number (75240).

Almost surely, 23006990 is an apocalyptic number.

3006990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815360).

3006990 is an abundant number, since it is smaller than the sum of its proper divisors (6623730).

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

3006990 is a wasteful number, since it uses less digits than its factorization.

3006990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3006990 is about 1734.0674727357. The cubic root of 3006990 is about 144.3368848617.

The spelling of 3006990 in words is "three million, six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 37 42 43 45 54 63 70 74 86 90 105 111 126 129 135 185 189 210 215 222 258 259 270 301 315 333 370 378 387 430 518 555 602 630 645 666 774 777 903 945 999 1110 1161 1290 1295 1505 1554 1591 1665 1806 1890 1935 1998 2322 2331 2590 2709 3010 3182 3330 3870 3885 4515 4662 4773 4995 5418 5805 6993 7770 7955 8127 9030 9546 9990 11137 11610 11655 13545 13986 14319 15910 16254 22274 23310 23865 27090 28638 33411 34965 40635 42957 47730 55685 66822 69930 71595 81270 85914 100233 111370 143190 167055 200466 214785 300699 334110 429570 501165 601398 1002330 1503495 3006990