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66120384 = 2631131307
BaseRepresentation
bin1111110000111…
…0101011000000
311121102021010010
43330032223000
5113411323014
610321104520
71432004541
oct374165300
9147367103
1066120384
1134361250
121a188140
13109109b5
148ad24c8
155c11359
hex3f0eac0

66120384 has 56 divisors (see below), whose sum is σ = 190853568. Its totient is φ = 20035840.

The previous prime is 66120371. The next prime is 66120419. The reversal of 66120384 is 48302166.

66120384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13542 + ... + 17765.

Almost surely, 266120384 is an apocalyptic number.

66120384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66120384 is an abundant number, since it is smaller than the sum of its proper divisors (124733184).

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

66120384 is a wasteful number, since it uses less digits than its factorization.

66120384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31333 (or 31323 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 66120384 is about 8131.4441521786. Note that the first 3 decimals coincide. The cubic root of 66120384 is about 404.3695602166.

The spelling of 66120384 in words is "sixty-six million, one hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 31307 62614 93921 125228 187842 250456 344377 375684 500912 688754 751368 1001824 1033131 1377508 1502736 2003648 2066262 2755016 3005472 4132524 5510032 6010944 8265048 11020064 16530096 22040128 33060192 66120384