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66022740 = 22325761859
BaseRepresentation
bin1111101111011…
…0110101010100
311121020022011200
43323312311110
5113400211430
610315032500
71431120060
oct373666524
9147208150
1066022740
11342a4953
121a13b730
13108a8414
148aa8aa0
155be2460
hex3ef6d54

66022740 has 144 divisors (see below), whose sum is σ = 232901760. Its totient is φ = 14826240.

The previous prime is 66022667. The next prime is 66022741. The reversal of 66022740 is 4722066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66022741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76431 + ... + 77289.

Almost surely, 266022740 is an apocalyptic number.

66022740 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 66022740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116450880).

66022740 is an abundant number, since it is smaller than the sum of its proper divisors (166879020).

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

66022740 is a wasteful number, since it uses less digits than its factorization.

66022740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 66022740 is about 8125.4378343570. The cubic root of 66022740 is about 404.1704097621.

The spelling of 66022740 in words is "sixty-six million, twenty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 305 315 366 420 427 549 610 630 732 854 859 915 1098 1220 1260 1281 1708 1718 1830 2135 2196 2562 2577 2745 3436 3660 3843 4270 4295 5124 5154 5490 6013 6405 7686 7731 8540 8590 10308 10980 12026 12810 12885 15372 15462 17180 18039 19215 24052 25620 25770 30065 30924 36078 38430 38655 51540 52399 54117 60130 72156 76860 77310 90195 104798 108234 120260 154620 157197 180390 209596 216468 261995 270585 314394 360780 366793 471591 523990 541170 628788 733586 785985 943182 1047980 1082340 1100379 1467172 1571970 1833965 1886364 2200758 2357955 3143940 3301137 3667930 4401516 4715910 5501895 6602274 7335860 9431820 11003790 13204548 16505685 22007580 33011370 66022740