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66170925 = 345241797
BaseRepresentation
bin1111110001101…
…1000000101101
311121111211110000
43330123000231
5113414432200
610322134513
71432305102
oct374330055
9147454400
1066170925
1134396217
121a1b1439
131092a9c2
148b06aa9
155c21300
hex3f1b02d

66170925 has 60 divisors (see below), whose sum is σ = 125718516. Its totient is φ = 34387200.

The previous prime is 66170917. The next prime is 66170933. The reversal of 66170925 is 52907166.

It is an interprime number because it is at equal distance from previous prime (66170917) and next prime (66170933).

It can be written as a sum of positive squares in 6 ways, for example, as 11573604 + 54597321 = 3402^2 + 7389^2 .

It is not a de Polignac number, because 66170925 - 23 = 66170917 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66170925.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 82627 + ... + 83423.

Almost surely, 266170925 is an apocalyptic number.

66170925 is the 6642-nd pentagonal number.

It is an amenable number.

66170925 is a deficient number, since it is larger than the sum of its proper divisors (59547591).

66170925 is a wasteful number, since it uses less digits than its factorization.

66170925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 66170925 is about 8134.5513090766. The cubic root of 66170925 is about 404.4725644424.

The spelling of 66170925 in words is "sixty-six million, one hundred seventy thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 81 123 135 205 225 369 405 615 675 797 1025 1107 1845 2025 2391 3075 3321 3985 5535 7173 9225 11955 16605 19925 21519 27675 32677 35865 59775 64557 83025 98031 107595 163385 179325 294093 322785 490155 537975 816925 882279 1470465 1613925 2450775 2646837 4411395 7352325 13234185 22056975 66170925