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66011440 = 2451175013
BaseRepresentation
bin1111101111010…
…0000100110000
311121012201200011
43323310010300
5113344331230
610314504304
71431042115
oct373640460
9147181604
1066011440
1134297410
121a135094
13108a3231
148aa490c
155bdde2a
hex3ef4130

66011440 has 40 divisors (see below), whose sum is σ = 167431248. Its totient is φ = 24003840.

The previous prime is 66011419. The next prime is 66011443. The reversal of 66011440 is 4411066.

66011440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (66011443) by changing a digit.

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, 36627 + ... + 38386.

Almost surely, 266011440 is an apocalyptic number.

It is an amenable number.

66011440 is an abundant number, since it is smaller than the sum of its proper divisors (101419808).

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

66011440 is a wasteful number, since it uses less digits than its factorization.

66011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75037 (or 75031 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 66011440 is about 8124.7424574567. The cubic root of 66011440 is about 404.1473501001.

It can be divided in two parts, 660 and 11440, that added together give a square (12100 = 1102).

The spelling of 66011440 in words is "sixty-six million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 75013 150026 300052 375065 600104 750130 825143 1200208 1500260 1650286 3000520 3300572 4125715 6001040 6601144 8251430 13202288 16502860 33005720 66011440