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66754044 = 223579811
BaseRepresentation
bin1111111010100…
…1010111111100
311122121110100000
43332221113330
5114042112134
610342434300
71440254130
oct376512774
9148543300
1066754044
1134754335
121a432990
1310aa3246
148c193c0
155cd8e99
hex3fa95fc

66754044 has 72 divisors (see below), whose sum is σ = 200007808. Its totient is φ = 19070640.

The previous prime is 66754033. The next prime is 66754057. The reversal of 66754044 is 44045766.

It is a super-2 number, since 2×667540442 = 8912204780707872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1899 + ... + 11709.

Almost surely, 266754044 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 66754044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100003904).

66754044 is an abundant number, since it is smaller than the sum of its proper divisors (133253764).

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

66754044 is a wasteful number, since it uses less digits than its factorization.

66754044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9837 (or 9823 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 66754044 is about 8170.3148042165. The cubic root of 66754044 is about 405.6572045643.

The spelling of 66754044 in words is "sixty-six million, seven hundred fifty-four thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 9811 19622 29433 39244 58866 68677 88299 117732 137354 176598 206031 264897 274708 353196 412062 529794 618093 794691 824124 1059588 1236186 1589382 1854279 2384073 2472372 3178764 3708558 4768146 5562837 7417116 9536292 11125674 16688511 22251348 33377022 66754044