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6665940 = 22325291277
BaseRepresentation
bin11001011011011011010100
3110112122221200
4121123123110
53201302230
6354512500
7110442141
oct31333324
913478850
106665940
113843246
122295730
1314c5158
14c573c8
158ba160
hex65b6d4

6665940 has 72 divisors (see below), whose sum is σ = 20933640. Its totient is φ = 1714944.

The previous prime is 6665927. The next prime is 6665947. The reversal of 6665940 is 495666.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1077444 + 5588496 = 1038^2 + 2364^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6665895 and 6665904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6665947) 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 23 ways as a sum of consecutive naturals, for example, 4582 + ... + 5858.

It is an arithmetic number, because the mean of its divisors is an integer number (290745).

Almost surely, 26665940 is an apocalyptic number.

6665940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6665940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10466820).

6665940 is an abundant number, since it is smaller than the sum of its proper divisors (14267700).

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

6665940 is a wasteful number, since it uses less digits than its factorization.

6665940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6665940 is about 2581.8481752419. The cubic root of 6665940 is about 188.2003673326.

The spelling of 6665940 in words is "six million, six hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1277 1305 1740 2554 2610 3831 5108 5220 6385 7662 11493 12770 15324 19155 22986 25540 37033 38310 45972 57465 74066 76620 111099 114930 148132 185165 222198 229860 333297 370330 444396 555495 666594 740660 1110990 1333188 1666485 2221980 3332970 6665940