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66087720 = 23325183577
BaseRepresentation
bin1111110000011…
…0101100101000
311121100121022100
43330012230220
5113404301340
610320253400
71431510366
oct374065450
9147317270
1066087720
1134339756
121a171260
13108cbb7a
148ac4636
155c06830
hex3f06b28

66087720 has 48 divisors (see below), whose sum is σ = 214786260. Its totient is φ = 17623296.

The previous prime is 66087713. The next prime is 66087733. The reversal of 66087720 is 2778066.

66087720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 64545156 + 1542564 = 8034^2 + 1242^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 91429 + ... + 92148.

Almost surely, 266087720 is an apocalyptic number.

66087720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66087720 is an abundant number, since it is smaller than the sum of its proper divisors (148698540).

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

66087720 is a wasteful number, since it uses less digits than its factorization.

66087720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183594 (or 183587 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 66087720 is about 8129.4354047498. The cubic root of 66087720 is about 404.3029619800.

The spelling of 66087720 in words is "sixty-six million, eighty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 183577 367154 550731 734308 917885 1101462 1468616 1652193 1835770 2202924 2753655 3304386 3671540 4405848 5507310 6608772 7343080 8260965 11014620 13217544 16521930 22029240 33043860 66087720