Search a number
-
+
1105121040 = 243517439617
BaseRepresentation
bin100000111011110…
…1100111100010000
32212000110222001220
41001313230330100
54230402333130
6301354325040
736246242142
oct10167547420
92760428056
101105121040
115178a2881
1226a129780
13147c5489a
14a6ab2c92
1567048410
hex41decf10

1105121040 has 160 divisors (see below), whose sum is σ = 3641552640. Its totient is φ = 276283392.

The previous prime is 1105120999. The next prime is 1105121063. The reversal of 1105121040 is 401215011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1790812 + ... + 1791428.

It is an arithmetic number, because the mean of its divisors is an integer number (22759704).

Almost surely, 21105121040 is an apocalyptic number.

1105121040 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 1105121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820776320).

1105121040 is an abundant number, since it is smaller than the sum of its proper divisors (2536431600).

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

1105121040 is a wasteful number, since it uses less digits than its factorization.

1105121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1105121040 is about 33243.3608409258. The cubic root of 1105121040 is about 1033.8795595169.

Adding to 1105121040 its reverse (401215011), we get a palindrome (1506336051).

The spelling of 1105121040 in words is "one billion, one hundred five million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 439 510 617 680 816 878 1020 1234 1317 1360 1756 1851 2040 2195 2468 2634 3085 3512 3702 4080 4390 4936 5268 6170 6585 7024 7404 7463 8780 9255 9872 10489 10536 12340 13170 14808 14926 17560 18510 20978 21072 22389 24680 26340 29616 29852 31467 35120 37020 37315 41956 44778 49360 52445 52680 59704 62934 74040 74630 83912 89556 104890 105360 111945 119408 125868 148080 149260 157335 167824 179112 209780 223890 251736 270863 298520 314670 358224 419560 447780 503472 541726 597040 629340 812589 839120 895560 1083452 1258680 1354315 1625178 1791120 2166904 2517360 2708630 3250356 4062945 4333808 4604671 5417260 6500712 8125890 9209342 10834520 13001424 13814013 16251780 18418684 21669040 23023355 27628026 32503560 36837368 46046710 55256052 65007120 69070065 73674736 92093420 110512104 138140130 184186840 221024208 276280260 368373680 552560520 1105121040