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1150022020 = 225761311433
BaseRepresentation
bin100010010001011…
…1111000110000100
32222010222011122011
41010202333012010
54323401201040
6310040544004
740333011610
oct10442770604
92863864564
101150022020
11540180624
12281182004
13154346104
14aca40340
156ae673ea
hex448bf184

1150022020 has 96 divisors (see below), whose sum is σ = 2820819456. Its totient is φ = 385689600.

The previous prime is 1150021937. The next prime is 1150022023. The reversal of 1150022020 is 202200511.

It is not an unprimeable number, because it can be changed into a prime (1150022023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2655724 + ... + 2656156.

It is an arithmetic number, because the mean of its divisors is an integer number (29383536).

Almost surely, 21150022020 is an apocalyptic number.

1150022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410409728).

1150022020 is an abundant number, since it is smaller than the sum of its proper divisors (1670797436).

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

1150022020 is a wasteful number, since it uses less digits than its factorization.

1150022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1150022020 is about 33911.9745812596. The cubic root of 1150022020 is about 1047.6962401214.

Adding to 1150022020 its reverse (202200511), we get a palindrome (1352222531).

The spelling of 1150022020 in words is "one billion, one hundred fifty million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 311 427 433 610 622 854 866 1220 1244 1555 1708 1732 2135 2165 2177 3031 3110 4270 4330 4354 6062 6220 8540 8660 8708 10885 12124 15155 18971 21770 26413 30310 37942 43540 52826 60620 75884 94855 105652 132065 132797 134663 184891 189710 264130 265594 269326 369782 379420 528260 531188 538652 663985 673315 739564 924455 942641 1327970 1346630 1848910 1885282 2655940 2693260 3697820 3770564 4713205 8214443 9426410 16428886 18852820 32857772 41072215 57501101 82144430 115002202 164288860 230004404 287505505 575011010 1150022020