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1120104320 = 2754194177
BaseRepresentation
bin100001011000011…
…0110111110000000
32220001200012021012
41002300312332000
54243221314240
6303051420052
736520505156
oct10260667600
92801605235
101120104320
115252a6a55
12273154628
1314b09c72a
14a8a933d6
1568507b65
hex42c36f80

1120104320 has 64 divisors (see below), whose sum is σ = 2684782800. Its totient is φ = 446865408.

The previous prime is 1120104319. The next prime is 1120104341. The reversal of 1120104320 is 234010211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1120104295 and 1120104304.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 266072 + ... + 270248.

Almost surely, 21120104320 is an apocalyptic number.

1120104320 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 1120104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342391400).

1120104320 is an abundant number, since it is smaller than the sum of its proper divisors (1564678480).

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

1120104320 is an equidigital number, since it uses as much as digits as its factorization.

1120104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1120104320 is about 33467.9596031787. The cubic root of 1120104320 is about 1038.5310622850.

Adding to 1120104320 its reverse (234010211), we get a palindrome (1354114531).

The spelling of 1120104320 in words is "one billion, one hundred twenty million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 419 640 838 1676 2095 3352 4177 4190 6704 8354 8380 13408 16708 16760 20885 26816 33416 33520 41770 53632 66832 67040 83540 133664 134080 167080 267328 268160 334160 534656 668320 1336640 1750163 2673280 3500326 7000652 8750815 14001304 17501630 28002608 35003260 56005216 70006520 112010432 140013040 224020864 280026080 560052160 1120104320