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143830128 = 24313534349
BaseRepresentation
bin10001001001010…
…10110001110000
3101000122022211210
420210222301300
5243310031003
622134440120
73364351551
oct1044526160
9330568753
10143830128
1174208782
1240203040
1323a4b7b0
1415160328
15c961503
hex892ac70

143830128 has 80 divisors (see below), whose sum is σ = 407786400. Its totient is φ = 43410432.

The previous prime is 143830123. The next prime is 143830153. The reversal of 143830128 is 821038341.

143830128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 143830095 and 143830104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143830123) 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 15 ways as a sum of consecutive naturals, for example, 30898 + ... + 35246.

It is an arithmetic number, because the mean of its divisors is an integer number (5097330).

Almost surely, 2143830128 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 143830128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203893200).

143830128 is an abundant number, since it is smaller than the sum of its proper divisors (263956272).

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

143830128 is a wasteful number, since it uses less digits than its factorization.

143830128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 143830128 is about 11992.9199113477. The cubic root of 143830128 is about 523.9420909919.

Adding to 143830128 its reverse (821038341), we get a palindrome (964868469).

The spelling of 143830128 in words is "one hundred forty-three million, eight hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1378 2067 2544 2756 4134 4349 5512 8268 8698 11024 13047 16536 17396 26094 33072 34792 52188 56537 69584 104376 113074 169611 208752 226148 230497 339222 452296 460994 678444 691491 904592 921988 1356888 1382982 1843976 2713776 2765964 2996461 3687952 5531928 5992922 8989383 11063856 11985844 17978766 23971688 35957532 47943376 71915064 143830128