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66498640 = 24513431487
BaseRepresentation
bin1111110110101…
…1000001010000
311122010110222121
43331223001100
5114010424030
610333144024
71435141405
oct375530120
9148113877
1066498640
113459a45a
121a32b014
1310a13c10
148b902ac
155c8847a
hex3f6b050

66498640 has 80 divisors (see below), whose sum is σ = 170489088. Its totient is φ = 23966208.

The previous prime is 66498637. The next prime is 66498659. The reversal of 66498640 is 4689466.

66498640 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (43).

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 15 ways as a sum of consecutive naturals, for example, 43977 + ... + 45463.

Almost surely, 266498640 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 66498640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85244544).

66498640 is an abundant number, since it is smaller than the sum of its proper divisors (103990448).

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

66498640 is a wasteful number, since it uses less digits than its factorization.

66498640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 66498640 is about 8154.6698277735. The cubic root of 66498640 is about 405.1391890634.

The spelling of 66498640 in words is "sixty-six million, four hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 260 344 430 520 559 688 860 1040 1118 1487 1720 2236 2795 2974 3440 4472 5590 5948 7435 8944 11180 11896 14870 19331 22360 23792 29740 38662 44720 59480 63941 77324 96655 118960 127882 154648 193310 255764 309296 319705 386620 511528 639410 773240 831233 1023056 1278820 1546480 1662466 2557640 3324932 4156165 5115280 6649864 8312330 13299728 16624660 33249320 66498640