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66147072 = 283432003
BaseRepresentation
bin1111110001010…
…1001100000000
311121110121201120
43330111030000
5113413201242
610321432240
71432145415
oct374251400
9147417646
1066147072
113437a302
121a19b680
131091cba4
148adc10c
155c191ec
hex3f15300

66147072 has 72 divisors (see below), whose sum is σ = 180231744. Its totient is φ = 21525504.

The previous prime is 66147071. The next prime is 66147077. The reversal of 66147072 is 27074166.

It is not an unprimeable number, because it can be changed into a prime (66147071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32023 + ... + 34025.

Almost surely, 266147072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90115872).

66147072 is an abundant number, since it is smaller than the sum of its proper divisors (114084672).

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

66147072 is a wasteful number, since it uses less digits than its factorization.

66147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 66147072 is about 8133.0850235320. The cubic root of 66147072 is about 404.4239577792.

The spelling of 66147072 in words is "sixty-six million, one hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 2003 2064 2752 4006 4128 5504 6009 8012 8256 11008 12018 16024 16512 24036 32048 33024 48072 64096 86129 96144 128192 172258 192288 256384 258387 344516 384576 512768 516774 689032 769152 1033548 1378064 1538304 2067096 2756128 4134192 5512256 8268384 11024512 16536768 22049024 33073536 66147072