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4132010320 = 24551650129
BaseRepresentation
bin1111011001001001…
…0111100101010000
3101122222002212120021
43312102113211100
531430243312240
61522003153224
7204252336214
oct36622274520
911588085507
104132010320
111830459569
12973975814
1350b092229
142b2ab8944
15192b4e54a
hexf6497950

4132010320 has 20 divisors (see below), whose sum is σ = 9606924180. Its totient is φ = 1652804096.

The previous prime is 4132010297. The next prime is 4132010321. The reversal of 4132010320 is 230102314.

It is a happy number.

4132010320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 442176784 + 3689833536 = 21028^2 + 60744^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4132010294 and 4132010303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132010321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25824985 + ... + 25825144.

It is an arithmetic number, because the mean of its divisors is an integer number (480346209).

Almost surely, 24132010320 is an apocalyptic number.

4132010320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132010320 is an abundant number, since it is smaller than the sum of its proper divisors (5474913860).

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

4132010320 is a wasteful number, since it uses less digits than its factorization.

4132010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51650142 (or 51650136 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4132010320 is about 64280.7149929121. The cubic root of 4132010320 is about 1604.6751696873.

Adding to 4132010320 its reverse (230102314), we get a palindrome (4362112634).

The spelling of 4132010320 in words is "four billion, one hundred thirty-two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 51650129 103300258 206600516 258250645 413201032 516501290 826402064 1033002580 2066005160 4132010320