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6705090 = 2325729367
BaseRepresentation
bin11001100100111111000010
3110121122122200
4121210333002
53204030330
6355414030
7110664240
oct31447702
913548580
106705090
11386a6a7
1222b4316
131509c12
14c67790
158c6a60
hex664fc2

6705090 has 96 divisors (see below), whose sum is σ = 20666880. Its totient is φ = 1475712.

The previous prime is 6705079. The next prime is 6705091. The reversal of 6705090 is 905076.

6705090 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (6705091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18087 + ... + 18453.

It is an arithmetic number, because the mean of its divisors is an integer number (215280).

Almost surely, 26705090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6705090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10333440).

6705090 is an abundant number, since it is smaller than the sum of its proper divisors (13961790).

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

6705090 is a wasteful number, since it uses less digits than its factorization.

6705090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 6705090 is about 2589.4188537199. The cubic root of 6705090 is about 188.5680907516.

The spelling of 6705090 in words is "six million, seven hundred five thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 367 406 435 522 609 630 734 870 1015 1101 1218 1305 1827 1835 2030 2202 2569 2610 3045 3303 3654 3670 5138 5505 6090 6606 7707 9135 10643 11010 12845 15414 16515 18270 21286 23121 25690 31929 33030 38535 46242 53215 63858 74501 77070 95787 106430 115605 149002 159645 191574 223503 231210 319290 372505 447006 478935 670509 745010 957870 1117515 1341018 2235030 3352545 6705090