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66707032 = 2372379449
BaseRepresentation
bin1111111001110…
…1111001011000
311122112001211211
43332131321120
5114034111112
610341432504
71440000100
oct376357130
9148461754
1066707032
1134721a87
121a40b734
1310a87a22
148c06200
155cca0a7
hex3f9de58

66707032 has 48 divisors (see below), whose sum is σ = 146205000. Its totient is φ = 28449792.

The previous prime is 66707027. The next prime is 66707033. The reversal of 66707032 is 23070766.

It is a junction number, because it is equal to n+sod(n) for n = 66706985 and 66707003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66707033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148344 + ... + 148792.

Almost surely, 266707032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66707032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73102500).

66707032 is an abundant number, since it is smaller than the sum of its proper divisors (79497968).

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

66707032 is a wasteful number, since it uses less digits than its factorization.

66707032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 66707032 is about 8167.4372969739. The cubic root of 66707032 is about 405.5619532306.

Adding to 66707032 its reverse (23070766), we get a palindrome (89777798).

The spelling of 66707032 in words is "sixty-six million, seven hundred seven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 379 392 449 758 898 1516 1796 2653 3032 3143 3592 5306 6286 10612 12572 18571 21224 22001 25144 37142 44002 74284 88004 148568 170171 176008 340342 680684 1191197 1361368 2382394 4764788 8338379 9529576 16676758 33353516 66707032