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6940890 = 2345111941
BaseRepresentation
bin11010011110100011011010
3111001122010000
4122132203122
53234102030
6404433430
7112665555
oct32364332
914048100
106940890
113a10880
1223a8876
131590348
14cc969c
15921860
hex69e8da

6940890 has 160 divisors (see below), whose sum is σ = 21954240. Its totient is φ = 1555200.

The previous prime is 6940873. The next prime is 6940891. The reversal of 6940890 is 980496.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6940891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169270 + ... + 169310.

It is an arithmetic number, because the mean of its divisors is an integer number (137214).

Almost surely, 26940890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6940890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977120).

6940890 is an abundant number, since it is smaller than the sum of its proper divisors (15013350).

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

6940890 is a wasteful number, since it uses less digits than its factorization.

6940890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6940890 is about 2634.5568887386. The cubic root of 6940890 is about 190.7531509516.

The spelling of 6940890 in words is "six million, nine hundred forty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 27 30 33 38 41 45 54 55 57 66 81 82 90 95 99 110 114 123 135 162 165 171 190 198 205 209 246 270 285 297 330 342 369 405 410 418 451 495 513 570 594 615 627 738 779 810 855 891 902 990 1026 1045 1107 1230 1254 1353 1485 1539 1558 1710 1782 1845 1881 2090 2214 2255 2337 2565 2706 2970 3078 3135 3321 3690 3762 3895 4059 4455 4510 4674 5130 5535 5643 6270 6642 6765 7011 7695 7790 8118 8569 8910 9405 11070 11286 11685 12177 13530 14022 15390 16605 16929 17138 18810 20295 21033 23370 24354 25707 28215 33210 33858 35055 36531 40590 42066 42845 51414 56430 60885 63099 70110 73062 77121 84645 85690 105165 121770 126198 128535 154242 169290 182655 210330 231363 257070 315495 365310 385605 462726 630990 694089 771210 1156815 1388178 2313630 3470445 6940890