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66021120 = 2832511521
BaseRepresentation
bin1111101111011…
…0011100000000
311121020012221200
43323312130000
5113400133440
610315021200
71431112254
oct373663400
9147205850
1066021120
11342a3710
121a13a800
13108a7769
148aa8264
155be1c30
hex3ef6700

66021120 has 216 divisors, whose sum is σ = 249670512. Its totient is φ = 15974400.

The previous prime is 66021113. The next prime is 66021133. The reversal of 66021120 is 2112066.

It is a happy number.

66021120 is a `hidden beast` number, since 660 + 2 + 1 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 66021093 and 66021102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126460 + ... + 126980.

It is an arithmetic number, because the mean of its divisors is an integer number (1155882).

Almost surely, 266021120 is an apocalyptic number.

66021120 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 66021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124835256).

66021120 is an abundant number, since it is smaller than the sum of its proper divisors (183649392).

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

66021120 is a wasteful number, since it uses less digits than its factorization.

66021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 66021120 is about 8125.3381468096. The cubic root of 66021120 is about 404.1671040252.

Adding to 66021120 its reverse (2112066), we get a palindrome (68133186).

The spelling of 66021120 in words is "sixty-six million, twenty-one thousand, one hundred twenty".