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1131045024 = 253411132543
BaseRepresentation
bin100001101101010…
…0110000010100000
32220211021001002110
41003122212002200
54304021420044
6304122115320
740012503234
oct10332460240
92824231073
101131045024
1153049995a
1227694bb40
13150430515
14aa3005c4
15694696b9
hex436a60a0

1131045024 has 96 divisors (see below), whose sum is σ = 3069529344. Its totient is φ = 364421120.

The previous prime is 1131045017. The next prime is 1131045029. The reversal of 1131045024 is 4205401311.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1131045029) 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, 443497 + ... + 446039.

It is an arithmetic number, because the mean of its divisors is an integer number (31974264).

Almost surely, 21131045024 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 1131045024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534764672).

1131045024 is an abundant number, since it is smaller than the sum of its proper divisors (1938484320).

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

1131045024 is a wasteful number, since it uses less digits than its factorization.

1131045024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1131045024 is about 33631.0128304219. The cubic root of 1131045024 is about 1041.9014229072.

Adding to 1131045024 its reverse (4205401311), we get a palindrome (5336446335).

The spelling of 1131045024 in words is "one billion, one hundred thirty-one million, forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 113 123 164 226 246 328 339 452 492 656 678 904 984 1312 1356 1808 1968 2543 2712 3616 3936 4633 5086 5424 7629 9266 10172 10848 13899 15258 18532 20344 27798 30516 37064 40688 55596 61032 74128 81376 104263 111192 122064 148256 208526 222384 244128 287359 312789 417052 444768 574718 625578 834104 862077 1149436 1251156 1668208 1724154 2298872 2502312 3336416 3448308 4597744 5004624 6896616 9195488 10009248 11781719 13793232 23563438 27586464 35345157 47126876 70690314 94253752 141380628 188507504 282761256 377015008 565522512 1131045024