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66604640 = 2551747521
BaseRepresentation
bin1111111000010…
…0111001100000
311122022212101112
43332010321200
5114022322030
610335322452
71436062424
oct376047140
9148285345
1066604640
1134662063
121a380428
1310a5023b
148bbab84
155ca9a95
hex3f84e60

66604640 has 96 divisors (see below), whose sum is σ = 170481024. Its totient is φ = 24494080.

The previous prime is 66604631. The next prime is 66604649. The reversal of 66604640 is 4640666.

It is a happy number.

66604640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66604631) and next prime (66604649).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 66604597 and 66604606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66604649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 127580 + ... + 128100.

It is an arithmetic number, because the mean of its divisors is an integer number (1775844).

Almost surely, 266604640 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 66604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85240512).

66604640 is an abundant number, since it is smaller than the sum of its proper divisors (103876384).

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

66604640 is a wasteful number, since it uses less digits than its factorization.

66604640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 66604640 is about 8161.1665832772. The cubic root of 66604640 is about 405.3543411126.

The spelling of 66604640 in words is "sixty-six million, six hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 47 68 80 85 94 136 160 170 188 235 272 340 376 470 521 544 680 752 799 940 1042 1360 1504 1598 1880 2084 2605 2720 3196 3760 3995 4168 5210 6392 7520 7990 8336 8857 10420 12784 15980 16672 17714 20840 24487 25568 31960 35428 41680 44285 48974 63920 70856 83360 88570 97948 122435 127840 141712 177140 195896 244870 283424 354280 391792 416279 489740 708560 783584 832558 979480 1417120 1665116 1958960 2081395 3330232 3917920 4162790 6660464 8325580 13320928 16651160 33302320 66604640