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66020625 = 325411297
BaseRepresentation
bin1111101111011…
…0010100010001
311121020012021100
43323312110101
5113400130000
610315015013
71431110646
oct373662421
9147205240
1066020625
11342a3300
121a13a469
13108a7478
148aa7dcd
155be1a00
hex3ef6511

66020625 has 90 divisors (see below), whose sum is σ = 132334202. Its totient is φ = 31680000.

The previous prime is 66020623. The next prime is 66020629. The reversal of 66020625 is 52602066.

It can be written as a sum of positive squares in 5 ways, for example, as 27531009 + 38489616 = 5247^2 + 6204^2 .

It is not a de Polignac number, because 66020625 - 21 = 66020623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66020621) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 680577 + ... + 680673.

Almost surely, 266020625 is an apocalyptic number.

It is an amenable number.

66020625 is an abundant number, since it is smaller than the sum of its proper divisors (66313577).

66020625 is a wasteful number, since it uses less digits than its factorization.

66020625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66020625 is about 8125.3076864818. The cubic root of 66020625 is about 404.1660939282.

The spelling of 66020625 in words is "sixty-six million, twenty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 97 99 121 125 165 225 275 291 363 375 485 495 605 625 825 873 1067 1089 1125 1375 1455 1815 1875 2425 2475 3025 3201 4125 4365 5335 5445 5625 6875 7275 9075 9603 11737 12125 12375 15125 16005 20625 21825 26675 27225 35211 36375 45375 48015 58685 60625 61875 75625 80025 105633 109125 133375 136125 176055 181875 226875 240075 293425 400125 528165 545625 666875 680625 880275 1200375 1467125 2000625 2640825 4401375 6001875 7335625 13204125 22006875 66020625