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66047345 = 5721389233
BaseRepresentation
bin1111101111110…
…0110101110001
311121021112220222
43323330311301
5113402003340
610315342425
71431251600
oct373746561
9147245828
1066047345
1134311391
121a151a15
13108b6690
148ab3a37
155be98b5
hex3efcd71

66047345 has 48 divisors (see below), whose sum is σ = 100835280. Its totient is φ = 41158656.

The previous prime is 66047341. The next prime is 66047353. The reversal of 66047345 is 54374066.

It can be written as a sum of positive squares in 8 ways, for example, as 20511841 + 45535504 = 4529^2 + 6748^2 .

It is not a de Polignac number, because 66047345 - 22 = 66047341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (66047341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283349 + ... + 283581.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 266047345 is an apocalyptic number.

66047345 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66047345 is a deficient number, since it is larger than the sum of its proper divisors (34787935).

66047345 is a wasteful number, since it uses less digits than its factorization.

66047345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 66047345 is about 8126.9517655761. The cubic root of 66047345 is about 404.2206115452.

The spelling of 66047345 in words is "sixty-six million, forty-seven thousand, three hundred forty-five".

Divisors: 1 5 7 13 35 49 65 89 91 233 245 445 455 623 637 1157 1165 1631 3029 3115 3185 4361 5785 8099 8155 11417 15145 20737 21203 21805 40495 56693 57085 103685 106015 145159 148421 269581 283465 725795 742105 1016113 1347905 1887067 5080565 9435335 13209469 66047345