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6661620 = 22325717311
BaseRepresentation
bin11001011010010111110100
3110112110000200
4121122113310
53201132440
6354440500
7110423430
oct31322764
913473020
106661620
11383aa79
122293130
1314c31b4
14c559c0
158b8c30
hex65a5f4

6661620 has 144 divisors (see below), whose sum is σ = 24530688. Its totient is φ = 1428480.

The previous prime is 6661601. The next prime is 6661643. The reversal of 6661620 is 261666.

6661620 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21265 + ... + 21575.

It is an arithmetic number, because the mean of its divisors is an integer number (170352).

Almost surely, 26661620 is an apocalyptic number.

6661620 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 6661620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265344).

6661620 is an abundant number, since it is smaller than the sum of its proper divisors (17869068).

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

6661620 is a wasteful number, since it uses less digits than its factorization.

6661620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6661620 is about 2581.0114296531. The cubic root of 6661620 is about 188.1597028360.

The spelling of 6661620 in words is "six million, six hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 311 315 340 357 420 476 510 595 612 622 630 714 765 933 1020 1071 1190 1244 1260 1428 1530 1555 1785 1866 2142 2177 2380 2799 3060 3110 3570 3732 4284 4354 4665 5287 5355 5598 6220 6531 7140 8708 9330 10574 10710 10885 11196 13062 13995 15861 18660 19593 21148 21420 21770 26124 26435 27990 31722 32655 37009 39186 43540 47583 52870 55980 63444 65310 74018 78372 79305 95166 97965 105740 111027 130620 148036 158610 185045 190332 195930 222054 237915 317220 333081 370090 391860 444108 475830 555135 666162 740180 951660 1110270 1332324 1665405 2220540 3330810 6661620