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1105240000 = 265427631
BaseRepresentation
bin100000111100000…
…1001111111000000
32212000201000020211
41001320021333000
54230420140000
6301401043504
736250246024
oct10170117700
92760630224
101105240000
11517974197
1226a186594
13147c96a87
14a6b04384
156706d7ba
hex41e09fc0

1105240000 has 70 divisors (see below), whose sum is σ = 2740735184. Its totient is φ = 442080000.

The previous prime is 1105239997. The next prime is 1105240001. The reversal of 1105240000 is 425011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105240001) 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 9 ways as a sum of consecutive naturals, for example, 26185 + ... + 53815.

Almost surely, 21105240000 is an apocalyptic number.

1105240000 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 1105240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370367592).

1105240000 is an abundant number, since it is smaller than the sum of its proper divisors (1635495184).

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

1105240000 is an frugal number, since it uses more digits than its factorization.

1105240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27663 (or 27638 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1105240000 is about 33245.1500222213. The cubic root of 1105240000 is about 1033.9166552723.

Adding to 1105240000 its reverse (425011), we get a palindrome (1105665011).

The spelling of 1105240000 in words is "one billion, one hundred five million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 27631 40000 55262 110524 138155 221048 276310 442096 552620 690775 884192 1105240 1381550 1768384 2210480 2763100 3453875 4420960 5526200 6907750 8841920 11052400 13815500 17269375 22104800 27631000 34538750 44209600 55262000 69077500 110524000 138155000 221048000 276310000 552620000 1105240000