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66201040 = 2456471279
BaseRepresentation
bin1111110010001…
…0010111010000
311121120100202101
43330202113100
5113421413130
610322530144
71432461643
oct374422720
9147510671
1066201040
1134406904
121a206954
131093b619
148b13a5a
155c2a1ca
hex3f225d0

66201040 has 40 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 26418816.

The previous prime is 66201017. The next prime is 66201053. The reversal of 66201040 is 4010266.

66201040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 66200999 and 66201017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51121 + ... + 52399.

It is an arithmetic number, because the mean of its divisors is an integer number (3856896).

Almost surely, 266201040 is an apocalyptic number.

It is an amenable number.

66201040 is an abundant number, since it is smaller than the sum of its proper divisors (88074800).

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

66201040 is a wasteful number, since it uses less digits than its factorization.

66201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 66201040 is about 8136.4021532862. The cubic root of 66201040 is about 404.5339148713.

The spelling of 66201040 in words is "sixty-six million, two hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 647 1279 1294 2558 2588 3235 5116 5176 6395 6470 10232 10352 12790 12940 20464 25580 25880 51160 51760 102320 827513 1655026 3310052 4137565 6620104 8275130 13240208 16550260 33100520 66201040