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66497760 = 253457733
BaseRepresentation
bin1111110110101…
…0110011100000
311122010102210000
43331222303200
5114010412020
610333140000
71435136010
oct375526340
9148112700
1066497760
113459982a
121a32a600
1310a136b4
148b8dc40
155c88090
hex3f6ace0

66497760 has 240 divisors, whose sum is σ = 268573536. Its totient is φ = 15178752.

The previous prime is 66497749. The next prime is 66497797. The reversal of 66497760 is 6779466.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90354 + ... + 91086.

Almost surely, 266497760 is an apocalyptic number.

66497760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66497760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134286768).

66497760 is an abundant number, since it is smaller than the sum of its proper divisors (202075776).

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

66497760 is a wasteful number, since it uses less digits than its factorization.

66497760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 66497760 is about 8154.6158707814. The cubic root of 66497760 is about 405.1374019389.

The spelling of 66497760 in words is "sixty-six million, four hundred ninety-seven thousand, seven hundred sixty".