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4131764 = 2271311351
BaseRepresentation
bin1111110000101110110100
321202220201022
433300232310
52024204024
6224320312
750055650
oct17605664
97686638
104131764
11237228a
121473098
13b18840
14797a60
1556935e
hex3f0bb4

4131764 has 24 divisors (see below), whose sum is σ = 8899968. Its totient is φ = 1634400.

The previous prime is 4131763. The next prime is 4131767. The reversal of 4131764 is 4671314.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5312 + ... + 6039.

It is an arithmetic number, because the mean of its divisors is an integer number (370832).

Almost surely, 24131764 is an apocalyptic number.

It is an amenable number.

4131764 is an abundant number, since it is smaller than the sum of its proper divisors (4768204).

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

4131764 is a wasteful number, since it uses less digits than its factorization.

4131764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11375 (or 11373 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 4131764 is about 2032.6741007845. The cubic root of 4131764 is about 160.4643282752.

The spelling of 4131764 in words is "four million, one hundred thirty-one thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 11351 22702 45404 79457 147563 158914 295126 317828 590252 1032941 2065882 4131764