Search a number
-
+
1105431628 = 2271929137523
BaseRepresentation
bin100000111100011…
…1000110001001100
32212001001202010011
41001320320301030
54230442303003
6301405123004
736252004510
oct10170706114
92761052104
101105431628
11517a95164
1226a259464
13148033072
14a6b54140
15670aa46d
hex41e38c4c

1105431628 has 96 divisors (see below), whose sum is σ = 2429683200. Its totient is φ = 429359616.

The previous prime is 1105431619. The next prime is 1105431629. The reversal of 1105431628 is 8261345011.

It is a self number, because there is not a number n which added to its sum of digits gives 1105431628.

It is not an unprimeable number, because it can be changed into a prime (1105431629) 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 31 ways as a sum of consecutive naturals, for example, 2113375 + ... + 2113897.

It is an arithmetic number, because the mean of its divisors is an integer number (25309200).

Almost surely, 21105431628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105431628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214841600).

1105431628 is an abundant number, since it is smaller than the sum of its proper divisors (1324251572).

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

1105431628 is a wasteful number, since it uses less digits than its factorization.

1105431628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 1105431628 is about 33248.0319417556. The cubic root of 1105431628 is about 1033.9764057734.

Adding to 1105431628 its reverse (8261345011), we get a palindrome (9366776639).

The spelling of 1105431628 in words is "one billion, one hundred five million, four hundred thirty-one thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 137 203 266 274 406 523 532 548 551 812 959 1046 1102 1918 2092 2204 2603 3661 3836 3857 3973 5206 7322 7714 7946 9937 10412 14644 15167 15428 15892 18221 19874 27811 30334 36442 39748 55622 60668 69559 71651 72884 75487 106169 111244 139118 143302 150974 212338 278236 286604 288173 301948 424676 501557 528409 576346 1003114 1056818 1152692 1361369 2006228 2017211 2077879 2113636 2722738 4034422 4155758 5445476 8068844 8311516 9529583 14545153 19059166 29090306 38118332 39479701 58180612 78959402 157918804 276357907 552715814 1105431628