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4143128 = 231123289
BaseRepresentation
bin1111110011100000011000
321210111022012
433303200120
52030040003
6224445052
750134043
oct17634030
97714265
104143128
11237a880
121479788
13b20a72
1479bc5a
1556c8d8
hex3f3818

4143128 has 48 divisors (see below), whose sum is σ = 8958600. Its totient is φ = 1781120.

The previous prime is 4143109. The next prime is 4143163. The reversal of 4143128 is 8213414.

4143128 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 (23).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 46508 + ... + 46596.

Almost surely, 24143128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4143128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479300).

4143128 is an abundant number, since it is smaller than the sum of its proper divisors (4815472).

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

4143128 is a wasteful number, since it uses less digits than its factorization.

4143128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 4143128 is about 2035.4675138651. The cubic root of 4143128 is about 160.6113072553.

The spelling of 4143128 in words is "four million, one hundred forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 89 92 178 184 253 356 506 529 712 979 1012 1058 1958 2024 2047 2116 3916 4094 4232 5819 7832 8188 11638 16376 22517 23276 45034 46552 47081 90068 94162 180136 188324 376648 517891 1035782 2071564 4143128