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4055132160 = 2113454889
BaseRepresentation
bin1111000110110100…
…0110100000000000
3101110121110001120000
43301231012200000
531301103212120
61510215320000
7202330024512
oct36155064000
911417401500
104055132160
1117a101a8a2
12952080000
134c8185ab1
142a67c5bb2
1518b015990
hexf1b46800

4055132160 has 240 divisors, whose sum is σ = 14537823300. Its totient is φ = 1081147392.

The previous prime is 4055132153. The next prime is 4055132167. The reversal of 4055132160 is 612315504.

It is an interprime number because it is at equal distance from previous prime (4055132153) and next prime (4055132167).

It can be written as a sum of positive squares in 2 ways, for example, as 4051067904 + 4064256 = 63648^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4055132167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 826996 + ... + 831884.

Almost surely, 24055132160 is an apocalyptic number.

4055132160 is a gapful number since it is divisible by the number (40) 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 4055132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268911650).

4055132160 is an abundant number, since it is smaller than the sum of its proper divisors (10482691140).

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

4055132160 is an equidigital number, since it uses as much as digits as its factorization.

4055132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4055132160 is about 63679.9195979392. The cubic root of 4055132160 is about 1594.6608700413.

Adding to 4055132160 its reverse (612315504), we get a palindrome (4667447664).

The spelling of 4055132160 in words is "four billion, fifty-five million, one hundred thirty-two thousand, one hundred sixty".