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1120367424 = 263115310009
BaseRepresentation
bin100001011000111…
…0111001101000000
32220002011120011210
41002301313031000
54243303224144
6303101210120
736522652221
oct10261671500
92802146153
101120367424
115254666a0
12273260940
1314b162407
14a8b21248
156855aab9
hex42c77340

1120367424 has 112 divisors (see below), whose sum is σ = 3295131840. Its totient is φ = 333066240.

The previous prime is 1120367407. The next prime is 1120367431. The reversal of 1120367424 is 4247630211.

It is a junction number, because it is equal to n+sod(n) for n = 1120367391 and 1120367400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106932 + ... + 116940.

It is an arithmetic number, because the mean of its divisors is an integer number (29420820).

Almost surely, 21120367424 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 1120367424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647565920).

1120367424 is an abundant number, since it is smaller than the sum of its proper divisors (2174764416).

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

1120367424 is a wasteful number, since it uses less digits than its factorization.

1120367424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088 (or 10078 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1120367424 is about 33471.8900571808. The cubic root of 1120367424 is about 1038.6123702728.

Adding to 1120367424 its reverse (4247630211), we get a palindrome (5367997635).

The spelling of 1120367424 in words is "one billion, one hundred twenty million, three hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 132 159 176 192 212 264 318 352 424 528 583 636 704 848 1056 1166 1272 1696 1749 2112 2332 2544 3392 3498 4664 5088 6996 9328 10009 10176 13992 18656 20018 27984 30027 37312 40036 55968 60054 80072 110099 111936 120108 160144 220198 240216 320288 330297 440396 480432 530477 640576 660594 880792 960864 1060954 1321188 1591431 1761584 1921728 2121908 2642376 3182862 3523168 4243816 5284752 5835247 6365724 7046336 8487632 10569504 11670494 12731448 16975264 17505741 21139008 23340988 25462896 33950528 35011482 46681976 50925792 70022964 93363952 101851584 140045928 186727904 280091856 373455808 560183712 1120367424