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66005590 = 257979721
BaseRepresentation
bin1111101111001…
…0101001010110
311121012102122111
43323302221112
5113344134330
610314421234
71431016060
oct373625126
9147172574
1066005590
1134292a82
121a13181a
13108a0681
148aa2730
155bdc32a
hex3ef2a56

66005590 has 32 divisors (see below), whose sum is σ = 137196864. Its totient is φ = 22394880.

The previous prime is 66005579. The next prime is 66005591. The reversal of 66005590 is 9550066.

It is a happy number.

It is a super-2 number, since 2×660055902 = 8713475822496200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66005591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1930 + ... + 11650.

It is an arithmetic number, because the mean of its divisors is an integer number (4287402).

Almost surely, 266005590 is an apocalyptic number.

66005590 is an abundant number, since it is smaller than the sum of its proper divisors (71191274).

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

66005590 is a wasteful number, since it uses less digits than its factorization.

66005590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832.

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 66005590 is about 8124.3824380688. The cubic root of 66005590 is about 404.1354110996.

The spelling of 66005590 in words is "sixty-six million, five thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 35 70 97 194 485 679 970 1358 3395 6790 9721 19442 48605 68047 97210 136094 340235 680470 942937 1885874 4714685 6600559 9429370 13201118 33002795 66005590