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1104024420 = 223251512269
BaseRepresentation
bin100000111001110…
…0001001101100100
32211221102020210100
41001303201031210
54230112240140
6301315024100
736234024042
oct10163411544
92757366710
101104024420
11517213984
1226989b030
1314795c6b5
14a68a9392
1566dcd530
hex41ce1364

1104024420 has 108 divisors (see below), whose sum is σ = 3383731260. Its totient is φ = 291369600.

The previous prime is 1104024419. The next prime is 1104024433. The reversal of 1104024420 is 244204011.

It can be written as a sum of positive squares in 2 ways, for example, as 210134016 + 893890404 = 14496^2 + 29898^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1104024393 and 1104024402.

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 35 ways as a sum of consecutive naturals, for example, 4104046 + ... + 4104314.

It is an arithmetic number, because the mean of its divisors is an integer number (31330845).

Almost surely, 21104024420 is an apocalyptic number.

1104024420 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 1104024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691865630).

1104024420 is an abundant number, since it is smaller than the sum of its proper divisors (2279706840).

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

1104024420 is a wasteful number, since it uses less digits than its factorization.

1104024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1104024420 is about 33226.8629274568. The cubic root of 1104024420 is about 1033.5374708268.

Adding to 1104024420 its reverse (244204011), we get a palindrome (1348228431).

The spelling of 1104024420 in words is "one billion, one hundred four million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 269 302 453 538 604 755 807 906 1076 1345 1359 1510 1614 1812 2265 2421 2690 2718 3020 3228 4035 4530 4842 5380 5436 6795 8070 9060 9684 12105 13590 16140 22801 24210 27180 40619 45602 48420 68403 81238 91204 114005 121857 136806 162476 203095 205209 228010 243714 273612 342015 365571 406190 410418 456020 487428 609285 684030 731142 812380 820836 1026045 1218570 1368060 1462284 1827855 2052090 2437140 3655710 4104180 6133469 7311420 12266938 18400407 24533876 30667345 36800814 55201221 61334690 73601628 92002035 110402442 122669380 184004070 220804884 276006105 368008140 552012210 1104024420