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1105534056 = 2331129197733
BaseRepresentation
bin100000111100101…
…0001110001101000
32212001020221121210
41001321101301220
54231004042211
6301411233120
736252612234
oct10171216150
92761227553
101105534056
11518055110
1226a2a87a0
1314806a883
14a6b7d5c4
15670ca9a6
hex41e51c68

1105534056 has 128 divisors (see below), whose sum is σ = 3139171200. Its totient is φ = 321377280.

The previous prime is 1105534039. The next prime is 1105534061. The reversal of 1105534056 is 6504355011.

It is a super-2 number, since 2×11055340562 = 2444411097951622272, which contains 22 as substring.

It is an unprimeable number.

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, 1507866 + ... + 1508598.

It is an arithmetic number, because the mean of its divisors is an integer number (24524775).

Almost surely, 21105534056 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 1105534056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569585600).

1105534056 is an abundant number, since it is smaller than the sum of its proper divisors (2033637144).

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

1105534056 is a wasteful number, since it uses less digits than its factorization.

1105534056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 1105534056 is about 33249.5722679255. The cubic root of 1105534056 is about 1034.0083404680.

Adding to 1105534056 its reverse (6504355011), we get a palindrome (7609889067).

The spelling of 1105534056 in words is "one billion, one hundred five million, five hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 197 232 264 319 348 394 591 638 696 733 788 957 1182 1276 1466 1576 1914 2167 2199 2364 2552 2932 3828 4334 4398 4728 5713 5864 6501 7656 8063 8668 8796 11426 13002 16126 17139 17336 17592 21257 22852 24189 26004 32252 34278 42514 45704 48378 52008 62843 63771 64504 68556 85028 96756 125686 127542 137112 144401 170056 188529 193512 233827 251372 255084 288802 377058 433203 467654 502744 510168 577604 701481 754116 866406 935308 1155208 1402962 1508232 1588411 1732812 1870616 2805924 3176822 3465624 4187629 4765233 5611848 6353644 8375258 9530466 12562887 12707288 16750516 19060932 25125774 33501032 38121864 46063919 50251548 92127838 100503096 138191757 184255676 276383514 368511352 552767028 1105534056