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66063360 = 21035111723
BaseRepresentation
bin1111110000000…
…0110000000000
311121022100220010
43330000300000
5113403011420
610315544520
71431346356
oct374006000
9147270803
1066063360
1134322420
121a15b140
13108c0a5c
148ab97d6
155bee4e0
hex3f00c00

66063360 has 352 divisors, whose sum is σ = 254679552. Its totient is φ = 14417920.

The previous prime is 66063331. The next prime is 66063367. The reversal of 66063360 is 6336066.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (66063367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2872309 + ... + 2872331.

Almost surely, 266063360 is an apocalyptic number.

66063360 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 66063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127339776).

66063360 is an abundant number, since it is smaller than the sum of its proper divisors (188616192).

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

66063360 is a wasteful number, since it uses less digits than its factorization.

66063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 66063360 is about 8127.9370076299. The cubic root of 66063360 is about 404.2532803826.

The spelling of 66063360 in words is "sixty-six million, sixty-three thousand, three hundred sixty".