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4135520 = 25525847
BaseRepresentation
bin1111110001101001100000
321210002212102
433301221200
52024314040
6224345532
750102624
oct17615140
97702772
104135520
112375094
1214752a8
13b1a46c
14799184
1556a515
hex3f1a60

4135520 has 24 divisors (see below), whose sum is σ = 9770544. Its totient is φ = 1654144.

The previous prime is 4135519. The next prime is 4135529. The reversal of 4135520 is 255314.

4135520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4135492 and 4135501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12764 + ... + 13083.

It is an arithmetic number, because the mean of its divisors is an integer number (407106).

Almost surely, 24135520 is an apocalyptic number.

4135520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4135520 is an abundant number, since it is smaller than the sum of its proper divisors (5635024).

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

4135520 is a wasteful number, since it uses less digits than its factorization.

4135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25862 (or 25854 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 4135520 is about 2033.5977970090. The cubic root of 4135520 is about 160.5129371727.

The spelling of 4135520 in words is "four million, one hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 25847 51694 103388 129235 206776 258470 413552 516940 827104 1033880 2067760 4135520