Search a number
-
+
1120431424 = 26711172239
BaseRepresentation
bin100001011001000…
…0110110101000000
32220002021210222011
41002302012311000
54243312301144
6303102422304
736523336630
oct10262066500
92802253864
101120431424
115254aa792
12273291994
1314b185598
14a8b3a6c0
156856ea34
hex42c86d40

1120431424 has 56 divisors (see below), whose sum is σ = 2544389120. Its totient is φ = 479540736.

The previous prime is 1120431409. The next prime is 1120431437. The reversal of 1120431424 is 4241340211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 1120431395 and 1120431404.

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 7 ways as a sum of consecutive naturals, for example, 499297 + ... + 501535.

It is an arithmetic number, because the mean of its divisors is an integer number (45435520).

Almost surely, 21120431424 is an apocalyptic number.

1120431424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1120431424 is an abundant number, since it is smaller than the sum of its proper divisors (1423957696).

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

1120431424 is a wasteful number, since it uses less digits than its factorization.

1120431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1120431424 is about 33472.8460696129. The cubic root of 1120431424 is about 1038.6321465011.

Adding to 1120431424 its reverse (4241340211), we get a palindrome (5361771635).

The spelling of 1120431424 in words is "one billion, one hundred twenty million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1117 2234 2239 4468 4478 7819 8936 8956 15638 15673 17872 17912 31276 31346 35744 35824 62552 62692 71488 71648 125104 125384 143296 250208 250768 500416 501536 1003072 2500963 5001926 10003852 17506741 20007704 35013482 40015408 70026964 80030816 140053928 160061632 280107856 560215712 1120431424