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141027120 = 243251321961
BaseRepresentation
bin10000110011111…
…10011100110000
3100211100220211200
420121332130300
5242100331440
621554411200
73331465533
oct1031763460
9324326750
10141027120
1172673843
123b290b00
13232a9a00
1414a30a1a
15c5aac30
hex867e730

141027120 has 360 divisors, whose sum is σ = 548692560. Its totient is φ = 32348160.

The previous prime is 141027109. The next prime is 141027127. The reversal of 141027120 is 21720141.

141027120 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 (360).

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 = 141027093 and 141027102.

It is not an unprimeable number, because it can be changed into a prime (141027127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2311890 + ... + 2311950.

It is an arithmetic number, because the mean of its divisors is an integer number (1524146).

Almost surely, 2141027120 is an apocalyptic number.

141027120 is a gapful number since it is divisible by the number (10) 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 141027120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274346280).

141027120 is an abundant number, since it is smaller than the sum of its proper divisors (407665440).

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

141027120 is a wasteful number, since it uses less digits than its factorization.

141027120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 141027120 is about 11875.4839901370. The cubic root of 141027120 is about 520.5161541604.

Adding to 141027120 its reverse (21720141), we get a palindrome (162747261).

The spelling of 141027120 in words is "one hundred forty-one million, twenty-seven thousand, one hundred twenty".