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1104424400 = 245219295011
BaseRepresentation
bin100000111010100…
…0010110111010000
32211222011120110102
41001311002313100
54230213040100
6301331351532
736240311132
oct10165026720
92758146412
101104424400
11517467442
12269a525a8
13147a6c781
14a6971052
1566e5bcd5
hex41d42dd0

1104424400 has 120 divisors (see below), whose sum is σ = 2889919200. Its totient is φ = 404006400.

The previous prime is 1104424379. The next prime is 1104424403. The reversal of 1104424400 is 44244011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104424403) 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 23 ways as a sum of consecutive naturals, for example, 217895 + ... + 222905.

It is an arithmetic number, because the mean of its divisors is an integer number (24082660).

Almost surely, 21104424400 is an apocalyptic number.

1104424400 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 1104424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444959600).

1104424400 is an abundant number, since it is smaller than the sum of its proper divisors (1785494800).

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

1104424400 is a wasteful number, since it uses less digits than its factorization.

1104424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1104424400 is about 33232.8813075243. The cubic root of 1104424400 is about 1033.6622701208.

Adding to 1104424400 its reverse (44244011), we get a palindrome (1148668411).

It can be divided in two parts, 1 and 104424400, that added together give a palindrome (104424401).

The spelling of 1104424400 in words is "one billion, one hundred four million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 29 38 40 50 58 76 80 95 100 116 145 152 190 200 232 290 304 380 400 464 475 551 580 725 760 950 1102 1160 1450 1520 1900 2204 2320 2755 2900 3800 4408 5011 5510 5800 7600 8816 10022 11020 11600 13775 20044 22040 25055 27550 40088 44080 50110 55100 80176 95209 100220 110200 125275 145319 190418 200440 220400 250550 290638 380836 400880 476045 501100 581276 726595 761672 952090 1002200 1162552 1453190 1523344 1904180 2004400 2325104 2380225 2761061 2906380 3632975 3808360 4760450 5522122 5812760 7265950 7616720 9520900 11044244 11625520 13805305 14531900 19041800 22088488 27610610 29063800 38083600 44176976 55221220 58127600 69026525 110442440 138053050 220884880 276106100 552212200 1104424400