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1112000320 = 2652326569
BaseRepresentation
bin100001001000111…
…1100011101000000
32212111102110200001
41002101330131000
54234133002240
6302202005344
736361563304
oct10221743500
92774373601
101112000320
11520771332
122704a6854
131494c2b72
14a7983d04
156795689a
hex4247c740

1112000320 has 84 divisors (see below), whose sum is σ = 2768506020. Its totient is φ = 425396224.

The previous prime is 1112000303. The next prime is 1112000321. The reversal of 1112000320 is 230002111.

It can be written as a sum of positive squares in 2 ways, for example, as 731594304 + 380406016 = 27048^2 + 19504^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1112000297 and 1112000306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112000321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165996 + ... + 172564.

It is an arithmetic number, because the mean of its divisors is an integer number (32958405).

Almost surely, 21112000320 is an apocalyptic number.

1112000320 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 1112000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384253010).

1112000320 is an abundant number, since it is smaller than the sum of its proper divisors (1656505700).

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

1112000320 is an equidigital number, since it uses as much as digits as its factorization.

1112000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6632 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1112000320 is about 33346.6687991469. The cubic root of 1112000320 is about 1036.0203928545.

Adding to 1112000320 its reverse (230002111), we get a palindrome (1342002431).

The spelling of 1112000320 in words is "one billion, one hundred twelve million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 529 736 920 1058 1472 1840 2116 2645 3680 4232 5290 6569 7360 8464 10580 13138 16928 21160 26276 32845 33856 42320 52552 65690 84640 105104 131380 151087 169280 210208 262760 302174 420416 525520 604348 755435 1051040 1208696 1510870 2102080 2417392 3021740 3475001 4834784 6043480 6950002 9669568 12086960 13900004 17375005 24173920 27800008 34750010 48347840 55600016 69500020 111200032 139000040 222400064 278000080 556000160 1112000320