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66071920 = 2455315583
BaseRepresentation
bin1111110000001…
…0110101110000
311121022210122011
43330002311300
5113403300140
610320052304
71431413335
oct374026560
9147283564
1066071920
11343288a2
121a164094
13108c4915
148abc98c
155c01cea
hex3f02d70

66071920 has 40 divisors (see below), whose sum is σ = 156525696. Its totient is φ = 25928448.

The previous prime is 66071857. The next prime is 66071921. The reversal of 66071920 is 2917066.

66071920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×660719202 = 8730997224972800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66071921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3552 + ... + 12031.

Almost surely, 266071920 is an apocalyptic number.

It is an amenable number.

66071920 is an abundant number, since it is smaller than the sum of its proper divisors (90453776).

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

66071920 is a wasteful number, since it uses less digits than its factorization.

66071920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15649 (or 15643 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 66071920 is about 8128.4635694576. The cubic root of 66071920 is about 404.2707396754.

Adding to 66071920 its reverse (2917066), we get a palindrome (68988986).

The spelling of 66071920 in words is "sixty-six million, seventy-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 15583 31166 62332 77915 124664 155830 249328 311660 623320 825899 1246640 1651798 3303596 4129495 6607192 8258990 13214384 16517980 33035960 66071920