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66017280 = 211357307
BaseRepresentation
bin1111101111010…
…1100000000000
311121020000200110
43323311200000
5113400023110
610314551320
71431065130
oct373654000
9147200613
1066017280
11342a083a
121a138540
13108a5aa4
148aa6ac0
155be0a20
hex3ef5800

66017280 has 192 divisors, whose sum is σ = 242161920. Its totient is φ = 15040512.

The previous prime is 66017279. The next prime is 66017293. The reversal of 66017280 is 8271066.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214887 + ... + 215193.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 266017280 is an apocalyptic number.

66017280 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 66017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

66017280 is an abundant number, since it is smaller than the sum of its proper divisors (176144640).

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

66017280 is a wasteful number, since it uses less digits than its factorization.

66017280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 66017280 is about 8125.1018455155. The cubic root of 66017280 is about 404.1592679885.

The spelling of 66017280 in words is "sixty-six million, seventeen thousand, two hundred eighty".