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1112000040 = 2332510512939
BaseRepresentation
bin100001001000111…
…1100011000101000
32212111102110021200
41002101330120220
54234133000130
6302202004200
736361562424
oct10221743050
92774373250
101112000040
115207710a8
122704a6660
131494c29b8
14a7983b84
1567956760
hex4247c628

1112000040 has 96 divisors (see below), whose sum is σ = 3618669600. Its totient is φ = 296150400.

The previous prime is 1112000033. The next prime is 1112000059. The reversal of 1112000040 is 400002111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1111999986 and 1112000031.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376891 + ... + 379829.

It is an arithmetic number, because the mean of its divisors is an integer number (37694475).

Almost surely, 21112000040 is an apocalyptic number.

1112000040 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 1112000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809334800).

1112000040 is an abundant number, since it is smaller than the sum of its proper divisors (2506669560).

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

1112000040 is a wasteful number, since it uses less digits than its factorization.

1112000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1112000040 is about 33346.6646008263. The cubic root of 1112000040 is about 1036.0203058984.

Adding to 1112000040 its reverse (400002111), we get a palindrome (1512002151).

The spelling of 1112000040 in words is "one billion, one hundred twelve million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1051 2102 2939 3153 4204 5255 5878 6306 8408 8817 9459 10510 11756 12612 14695 15765 17634 18918 21020 23512 25224 26451 29390 31530 35268 37836 42040 44085 47295 52902 58780 63060 70536 75672 88170 94590 105804 117560 126120 132255 176340 189180 211608 264510 352680 378360 529020 1058040 3088889 6177778 9266667 12355556 15444445 18533334 24711112 27800001 30888890 37066668 46333335 55600002 61777780 74133336 92666670 111200004 123555560 139000005 185333340 222400008 278000010 370666680 556000020 1112000040