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1115560000 = 26541672
BaseRepresentation
bin100001001111110…
…0001100001000000
32212202010022122001
41002133201201000
54241040410000
6302410153344
736434050342
oct10237414100
92782108561
101115560000
11522782815
12271722854
1314a16b199
14a822d292
1567e0b46a
hex427e1840

1115560000 has 105 divisors (see below), whose sum is σ = 2782889659. Its totient is φ = 443552000.

The previous prime is 1115559997. The next prime is 1115560001. The reversal of 1115560000 is 655111.

The square root of 1115560000 is 33400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 87459904 + 1028100096 = 9352^2 + 32064^2 .

It is a super-2 number, since 2×11155600002 = 2488948227200000000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1115560000.

It is not an unprimeable number, because it can be changed into a prime (1115560001) 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 14 ways as a sum of consecutive naturals, for example, 6679917 + ... + 6680083.

Almost surely, 21115560000 is an apocalyptic number.

1115560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1115560000 is the 33400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1115560000

1115560000 is an abundant number, since it is smaller than the sum of its proper divisors (1667329659).

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

1115560000 is an frugal number, since it uses more digits than its factorization.

1115560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The cubic root of 1115560000 is about 1037.1247009541.

The spelling of 1115560000 in words is "one billion, one hundred fifteen million, five hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 167 200 250 320 334 400 500 625 668 800 835 1000 1250 1336 1600 1670 2000 2500 2672 3340 4000 4175 5000 5344 6680 8000 8350 10000 10688 13360 16700 20000 20875 26720 27889 33400 40000 41750 53440 55778 66800 83500 104375 111556 133600 139445 167000 208750 223112 267200 278890 334000 417500 446224 557780 668000 697225 835000 892448 1115560 1336000 1394450 1670000 1784896 2231120 2788900 3340000 3486125 4462240 5577800 6680000 6972250 8924480 11155600 13944500 17430625 22311200 27889000 34861250 44622400 55778000 69722500 111556000 139445000 223112000 278890000 557780000 1115560000