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66320046 = 236133499
BaseRepresentation
bin1111110011111…
…1011010101110
311121210102000000
43330333122232
5113434220141
610325245130
71433465622
oct374773256
9147712000
1066320046
1134488261
121a2637a6
1310980840
148b45182
155c505b6
hex3f3f6ae

66320046 has 56 divisors (see below), whose sum is σ = 160671000. Its totient is φ = 20400336.

The previous prime is 66320027. The next prime is 66320053. The reversal of 66320046 is 64002366.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17205 + ... + 20703.

It is an arithmetic number, because the mean of its divisors is an integer number (2869125).

Almost surely, 266320046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66320046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80335500).

66320046 is an abundant number, since it is smaller than the sum of its proper divisors (94350954).

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

66320046 is a wasteful number, since it uses less digits than its factorization.

66320046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66320046 is about 8143.7120528663. The cubic root of 66320046 is about 404.7761726186.

The spelling of 66320046 in words is "sixty-six million, three hundred twenty thousand, forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 3159 3499 6318 6998 9477 10497 18954 20994 31491 45487 62982 90974 94473 136461 188946 272922 283419 409383 566838 818766 850257 1228149 1700514 2456298 2550771 3684447 5101542 7368894 11053341 22106682 33160023 66320046