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66142740 = 223510391061
BaseRepresentation
bin1111110001010…
…0001000010100
311121110101210010
43330110020110
5113413031430
610321400220
71432126656
oct374241024
9147411703
1066142740
1134377024
121a199070
131091ac21
148ada6d6
155c17cb0
hex3f14214

66142740 has 48 divisors (see below), whose sum is σ = 185552640. Its totient is φ = 17604480.

The previous prime is 66142723. The next prime is 66142751. The reversal of 66142740 is 4724166.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66142698 and 66142707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61810 + ... + 62870.

It is an arithmetic number, because the mean of its divisors is an integer number (3865680).

Almost surely, 266142740 is an apocalyptic number.

66142740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66142740 is an abundant number, since it is smaller than the sum of its proper divisors (119409900).

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

66142740 is a wasteful number, since it uses less digits than its factorization.

66142740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 66142740 is about 8132.8186995654. The cubic root of 66142740 is about 404.4151289539.

The spelling of 66142740 in words is "sixty-six million, one hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1039 1061 2078 2122 3117 3183 4156 4244 5195 5305 6234 6366 10390 10610 12468 12732 15585 15915 20780 21220 31170 31830 62340 63660 1102379 2204758 3307137 4409516 5511895 6614274 11023790 13228548 16535685 22047580 33071370 66142740