Search a number
-
+
66123081 = 3317712029
BaseRepresentation
bin1111110000111…
…1010101001001
311121102101211000
43330033111021
5113411414311
610321125213
71432015443
oct374172511
9147371730
1066123081
1134363282
121a189809
1310911cab
148ad3493
155c12056
hex3f0f549

66123081 has 32 divisors (see below), whose sum is σ = 105235200. Its totient is φ = 40884480.

The previous prime is 66123077. The next prime is 66123089. The reversal of 66123081 is 18032166.

It is not a de Polignac number, because 66123081 - 22 = 66123077 is a prime.

It is a super-2 number, since 2×661230812 = 8744523681865122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (66123089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31575 + ... + 33603.

It is an arithmetic number, because the mean of its divisors is an integer number (3288600).

Almost surely, 266123081 is an apocalyptic number.

It is an amenable number.

66123081 is a deficient number, since it is larger than the sum of its proper divisors (39112119).

66123081 is a wasteful number, since it uses less digits than its factorization.

66123081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 66123081 is about 8131.6099881881. The cubic root of 66123081 is about 404.3750581171.

The spelling of 66123081 in words is "sixty-six million, one hundred twenty-three thousand, eighty-one".

Divisors: 1 3 9 17 27 51 71 153 213 459 639 1207 1917 2029 3621 6087 10863 18261 32589 34493 54783 103479 144059 310437 432177 931311 1296531 2449003 3889593 7347009 22041027 66123081