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4143104 = 2117172
BaseRepresentation
bin1111110011100000000000
321210111021022
433303200000
52030034404
6224445012
750134010
oct17634000
97714238
104143104
11237a859
121479768
13b20a54
1479bc40
1556c8be
hex3f3800

4143104 has 72 divisors (see below), whose sum is σ = 10057320. Its totient is φ = 1671168.

The previous prime is 4143101. The next prime is 4143109. The reversal of 4143104 is 4013414.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4143101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 243704 + ... + 243720.

It is an arithmetic number, because the mean of its divisors is an integer number (139685).

Almost surely, 24143104 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 4143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028660).

4143104 is an abundant number, since it is smaller than the sum of its proper divisors (5914216).

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

4143104 is an equidigital number, since it uses as much as digits as its factorization.

4143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4143104 is about 2035.4616184050. The cubic root of 4143104 is about 160.6109971290.

Adding to 4143104 its reverse (4013414), we get a palindrome (8156518).

The spelling of 4143104 in words is "four million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 289 448 476 512 544 578 896 952 1024 1088 1156 1792 1904 2023 2048 2176 2312 3584 3808 4046 4352 4624 7168 7616 8092 8704 9248 14336 15232 16184 17408 18496 30464 32368 34816 36992 60928 64736 73984 121856 129472 147968 243712 258944 295936 517888 591872 1035776 2071552 4143104