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1124431424 = 2643479853
BaseRepresentation
bin100001100000101…
…0111011001000000
32220100211000221022
41003001113121000
54300323301144
6303324245012
736602336504
oct10301273100
92810730838
101124431424
11527791a76
122746a0768
1314bc5614c
14a949c304
1568aaecee
hex43057640

1124431424 has 56 divisors (see below), whose sum is σ = 2290632960. Its totient is φ = 547352064.

The previous prime is 1124431421. The next prime is 1124431447. The reversal of 1124431424 is 4241344211.

It is a junction number, because it is equal to n+sod(n) for n = 1124431393 and 1124431402.

It is not an unprimeable number, because it can be changed into a prime (1124431421) 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 7 ways as a sum of consecutive naturals, for example, 1317782 + ... + 1318634.

It is an arithmetic number, because the mean of its divisors is an integer number (40904160).

Almost surely, 21124431424 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 1124431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145316480).

1124431424 is an abundant number, since it is smaller than the sum of its proper divisors (1166201536).

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

1124431424 is an equidigital number, since it uses as much as digits as its factorization.

1124431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1377 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 1124431424 is about 33532.5427607272. The cubic root of 1124431424 is about 1039.8666692979.

Adding to 1124431424 its reverse (4241344211), we get a palindrome (5365775635).

The spelling of 1124431424 in words is "one billion, one hundred twenty-four million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 479 688 853 958 1376 1706 1916 2752 3412 3832 6824 7664 13648 15328 20597 27296 30656 36679 41194 54592 73358 82388 146716 164776 293432 329552 408587 586864 659104 817174 1173728 1318208 1634348 2347456 3268696 6537392 13074784 17569241 26149568 35138482 70276964 140553928 281107856 562215712 1124431424