Search a number
-
+
104010075 = 365213439
BaseRepresentation
bin1100011001100…
…01000101011011
321020201021000000
412030301011123
5203111310300
614153144043
72402033241
oct614610533
9236637000
10104010075
1153790344
122a9bb023
1318718b30
14db56791
1591e7c00
hex633115b

104010075 has 84 divisors (see below), whose sum is σ = 208719280. Its totient is φ = 51088320.

The previous prime is 104010073. The next prime is 104010091. The reversal of 104010075 is 570010401.

It is not a de Polignac number, because 104010075 - 21 = 104010073 is a prime.

It is a super-3 number, since 3×1040100753 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (104010073) 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 83 ways as a sum of consecutive naturals, for example, 236706 + ... + 237144.

Almost surely, 2104010075 is an apocalyptic number.

104010075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104010075 is an abundant number, since it is smaller than the sum of its proper divisors (104709205).

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

104010075 is an equidigital number, since it uses as much as digits as its factorization.

104010075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 104010075 is about 10198.5329827383. The cubic root of 104010075 is about 470.2821227570.

Adding to 104010075 its reverse (570010401), we get a palindrome (674020476).

The spelling of 104010075 in words is "one hundred four million, ten thousand, seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 195 225 243 325 351 405 439 585 675 729 975 1053 1215 1317 1755 2025 2195 2925 3159 3645 3951 5265 5707 6075 6585 8775 9477 10975 11853 15795 17121 18225 19755 26325 28535 32925 35559 47385 51363 59265 78975 85605 98775 106677 142675 154089 177795 236925 256815 296325 320031 428025 462267 533385 770445 888975 1284075 1386801 1600155 2311335 2666925 3852225 4160403 6934005 8000775 11556675 20802015 34670025 104010075