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66106062 = 232111372437
BaseRepresentation
bin1111110000101…
…1001011001110
311121101112110200
43330023023032
5113410343222
610320514330
71431615021
oct374131316
9147345420
1066106062
1134351510
121a17b9a6
1310907319
148acb1b8
155c0beac
hex3f0b2ce

66106062 has 48 divisors (see below), whose sum is σ = 157455792. Its totient is φ = 19877760.

The previous prime is 66106039. The next prime is 66106067. The reversal of 66106062 is 26060166.

It is a super-2 number, since 2×661060622 = 8740022866295688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66106067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25908 + ... + 28344.

It is an arithmetic number, because the mean of its divisors is an integer number (3280329).

Almost surely, 266106062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66106062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78727896).

66106062 is an abundant number, since it is smaller than the sum of its proper divisors (91349730).

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

66106062 is a wasteful number, since it uses less digits than its factorization.

66106062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66106062 is about 8130.5634491098. The cubic root of 66106062 is about 404.3403619639.

The spelling of 66106062 in words is "sixty-six million, one hundred six thousand, sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 198 274 411 822 1233 1507 2437 2466 3014 4521 4874 7311 9042 13563 14622 21933 26807 27126 43866 53614 80421 160842 241263 333869 482526 667738 1001607 2003214 3004821 3672559 6009642 7345118 11017677 22035354 33053031 66106062