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66397320 = 233851123
BaseRepresentation
bin1111110101001…
…0010010001000
311121221100000000
43331102102020
5113444203240
610331043000
71434240123
oct375222210
9147840000
1066397320
1134530320
121a2a0460
13109a9a72
148b653ba
155c68430
hex3f52488

66397320 has 288 divisors, whose sum is σ = 255078720. Its totient is φ = 15396480.

The previous prime is 66397313. The next prime is 66397333. The reversal of 66397320 is 2379366.

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 71 ways as a sum of consecutive naturals, for example, 2886829 + ... + 2886851.

It is an arithmetic number, because the mean of its divisors is an integer number (885690).

Almost surely, 266397320 is an apocalyptic number.

66397320 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 66397320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127539360).

66397320 is an abundant number, since it is smaller than the sum of its proper divisors (188681400).

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

66397320 is a wasteful number, since it uses less digits than its factorization.

66397320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 66397320 is about 8148.4550682936. The cubic root of 66397320 is about 404.9333223564.

It can be divided in two parts, 66 and 397320, that added together give a triangular number (397386 = T891).

The spelling of 66397320 in words is "sixty-six million, three hundred ninety-seven thousand, three hundred twenty".