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1105331024 = 247217239347
BaseRepresentation
bin100000111100010…
…0000001101010000
32212000212122010002
41001320200031100
54230431043044
6301403025132
736251105300
oct10170401520
92760778102
101105331024
11517a26616
1226a20b1a8
13147cc9335
14a6b29600
156708a74e
hex41e20350

1105331024 has 120 divisors (see below), whose sum is σ = 2656437120. Its totient is φ = 442702848.

The previous prime is 1105330997. The next prime is 1105331069. The reversal of 1105331024 is 4201335011.

It is a junction number, because it is equal to n+sod(n) for n = 1105330987 and 1105331005.

It is a congruent number.

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, 3185219 + ... + 3185565.

It is an arithmetic number, because the mean of its divisors is an integer number (22136976).

Almost surely, 21105331024 is an apocalyptic number.

1105331024 is a gapful number since it is divisible by the number (14) 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 1105331024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328218560).

1105331024 is an abundant number, since it is smaller than the sum of its proper divisors (1551106096).

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

1105331024 is a wasteful number, since it uses less digits than its factorization.

1105331024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1105331024 is about 33246.5189756762. The cubic root of 1105331024 is about 1033.9450378397.

Adding to 1105331024 its reverse (4201335011), we get a palindrome (5306666035).

The spelling of 1105331024 in words is "one billion, one hundred five million, three hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 239 272 347 392 476 478 694 784 833 952 956 1388 1666 1673 1904 1912 2429 2776 3332 3346 3824 4063 4858 5552 5899 6664 6692 8126 9716 11711 11798 13328 13384 16252 17003 19432 23422 23596 26768 28441 32504 34006 38864 41293 46844 47192 56882 65008 68012 82586 82933 93688 94384 113764 136024 165172 165866 187376 199087 227528 272048 289051 330344 331732 398174 455056 578102 580531 660688 663464 796348 1156204 1161062 1326928 1409861 1592696 2312408 2322124 2819722 3185392 4063717 4624816 4644248 5639444 8127434 9288496 9869027 11278888 16254868 19738054 22557776 32509736 39476108 65019472 69083189 78952216 138166378 157904432 276332756 552665512 1105331024