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66630720 = 26351319281
BaseRepresentation
bin1111111000101…
…1010001000000
311122101012011110
43332023101000
5114024140340
610340043320
71436231442
oct376132100
9148335143
1066630720
113467a712
121a393540
1310a5c080
148bc6492
155cb2680
hex3f8b440

66630720 has 224 divisors, whose sum is σ = 240670080. Its totient is φ = 15482880.

The previous prime is 66630709. The next prime is 66630743. The reversal of 66630720 is 2703666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236980 + ... + 237260.

It is an arithmetic number, because the mean of its divisors is an integer number (1074420).

Almost surely, 266630720 is an apocalyptic number.

66630720 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 66630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120335040).

66630720 is an abundant number, since it is smaller than the sum of its proper divisors (174039360).

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

66630720 is a wasteful number, since it uses less digits than its factorization.

66630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 66630720 is about 8162.7642376832. The cubic root of 66630720 is about 405.4072416397.

The spelling of 66630720 in words is "sixty-six million, six hundred thirty thousand, seven hundred twenty".