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1074051104 = 25759181449
BaseRepresentation
bin100000000000100…
…1011100000100000
32202212000110010112
41000001023200200
54144424113404
6254324350452
735421166220
oct10001134040
92685013115
101074051104
11501301545
1225b845428
131416968c9
14a2906080
156445c56e
hex4004b820

1074051104 has 96 divisors (see below), whose sum is σ = 2476656000. Its totient is φ = 449003520.

The previous prime is 1074051091. The next prime is 1074051131. The reversal of 1074051104 is 4011504701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1074051104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2391872 + ... + 2392320.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500).

Almost surely, 21074051104 is an apocalyptic number.

1074051104 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 1074051104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328000).

1074051104 is an abundant number, since it is smaller than the sum of its proper divisors (1402604896).

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

1074051104 is a wasteful number, since it uses less digits than its factorization.

1074051104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 1074051104 is about 32772.7188984985. The cubic root of 1074051104 is about 1024.0983080259.

Adding to 1074051104 its reverse (4011504701), we get a palindrome (5085555805).

The spelling of 1074051104 in words is "one billion, seventy-four million, fifty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 181 224 236 362 413 449 472 724 826 898 944 1267 1448 1652 1796 1888 2534 2896 3143 3304 3592 5068 5792 6286 6608 7184 10136 10679 12572 13216 14368 20272 21358 25144 26491 40544 42716 50288 52982 74753 81269 85432 100576 105964 149506 162538 170864 185437 211928 299012 325076 341728 370874 423856 568883 598024 650152 741748 847712 1137766 1196048 1300304 1483496 2275532 2392096 2600608 2966992 4551064 4794871 5933984 9102128 9589742 18204256 19179484 33564097 38358968 67128194 76717936 134256388 153435872 268512776 537025552 1074051104