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66142260 = 22325367457
BaseRepresentation
bin1111110001010…
…0000000110100
311121110101010100
43330110000310
5113413023020
610321354100
71432125402
oct374240064
9147411110
1066142260
1134376728
121a198930
131091a942
148ada472
155c17a90
hex3f14034

66142260 has 36 divisors (see below), whose sum is σ = 200632068. Its totient is φ = 17637888.

The previous prime is 66142259. The next prime is 66142289. The reversal of 66142260 is 6224166.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20903184 + 45239076 = 4572^2 + 6726^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 183549 + ... + 183908.

It is an arithmetic number, because the mean of its divisors is an integer number (5573113).

Almost surely, 266142260 is an apocalyptic number.

66142260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66142260 is an abundant number, since it is smaller than the sum of its proper divisors (134489808).

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

66142260 is a wasteful number, since it uses less digits than its factorization.

66142260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367472 (or 367467 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66142260 is about 8132.7891894479. The cubic root of 66142260 is about 404.4141506670.

The spelling of 66142260 in words is "sixty-six million, one hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 367457 734914 1102371 1469828 1837285 2204742 3307113 3674570 4409484 5511855 6614226 7349140 11023710 13228452 16535565 22047420 33071130 66142260