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4036545120 = 253541443463
BaseRepresentation
bin1111000010011000…
…1100101001100000
3101102022110201221010
43300212030221200
531231323420440
61504313100520
7202013032056
oct36046145140
911368421833
104036545120
111791585103
129479b7740
134c437884a
142a41481d6
15189593580
hexf098ca60

4036545120 has 192 divisors, whose sum is σ = 13082840064. Its totient is φ = 1045524480.

The previous prime is 4036545113. The next prime is 4036545157. The reversal of 4036545120 is 215456304.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8718009 + ... + 8718471.

It is an arithmetic number, because the mean of its divisors is an integer number (68139792).

Almost surely, 24036545120 is an apocalyptic number.

4036545120 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 4036545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541420032).

4036545120 is an abundant number, since it is smaller than the sum of its proper divisors (9046294944).

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

4036545120 is a wasteful number, since it uses less digits than its factorization.

4036545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4036545120 is about 63533.8108411576. The cubic root of 4036545120 is about 1592.2207171906.

The spelling of 4036545120 in words is "four billion, thirty-six million, five hundred forty-five thousand, one hundred twenty".