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1105512040 = 235176592467
BaseRepresentation
bin100000111100100…
…1100011001101000
32212001012211102101
41001321030121220
54231002341130
6301410543144
736252461113
oct10171143150
92761184371
101105512040
1151803a616
1226a297ab4
13148060849
14a6b7557a
15670c41ca
hex41e4c668

1105512040 has 64 divisors (see below), whose sum is σ = 2638785600. Its totient is φ = 415392768.

The previous prime is 1105511959. The next prime is 1105512041. The reversal of 1105512040 is 402155011.

It is a junction number, because it is equal to n+sod(n) for n = 1105511999 and 1105512017.

It is not an unprimeable number, because it can be changed into a prime (1105512041) 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 15 ways as a sum of consecutive naturals, for example, 446887 + ... + 449353.

It is an arithmetic number, because the mean of its divisors is an integer number (41231025).

Almost surely, 21105512040 is an apocalyptic number.

1105512040 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 1105512040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319392800).

1105512040 is an abundant number, since it is smaller than the sum of its proper divisors (1533273560).

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

1105512040 is a wasteful number, since it uses less digits than its factorization.

1105512040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 1105512040 is about 33249.2411943491. The cubic root of 1105512040 is about 1034.0014765520.

Adding to 1105512040 its reverse (402155011), we get a palindrome (1507667051).

The spelling of 1105512040 in words is "one billion, one hundred five million, five hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 659 680 1318 2467 2636 3295 4934 5272 6590 9868 11203 12335 13180 19736 22406 24670 26360 41939 44812 49340 56015 83878 89624 98680 112030 167756 209695 224060 335512 419390 448120 838780 1625753 1677560 3251506 6503012 8128765 13006024 16257530 27637801 32515060 55275602 65030120 110551204 138189005 221102408 276378010 552756020 1105512040