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104205000 = 233546947
BaseRepresentation
bin1100011011000…
…00101011001000
321021002011101110
412031200223020
5203134030000
614201250320
72403504444
oct615405310
9237064343
10104205000
1153903839
122aa939a0
1318786783
14dba7824
159235850
hex6360ac8

104205000 has 80 divisors (see below), whose sum is σ = 325583280. Its totient is φ = 27784000.

The previous prime is 104204999. The next prime is 104205011. The reversal of 104205000 is 502401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11527 + ... + 18473.

It is an arithmetic number, because the mean of its divisors is an integer number (4069791).

Almost surely, 2104205000 is an apocalyptic number.

104205000 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 104205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162791640).

104205000 is an abundant number, since it is smaller than the sum of its proper divisors (221378280).

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

104205000 is an equidigital number, since it uses as much as digits as its factorization.

104205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6976 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 104205000 is about 10208.0850309938. The cubic root of 104205000 is about 470.5757242385.

Adding to 104205000 its reverse (502401), we get a palindrome (104707401).

The spelling of 104205000 in words is "one hundred four million, two hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 6947 7500 13894 15000 20841 27788 34735 41682 55576 69470 83364 104205 138940 166728 173675 208410 277880 347350 416820 521025 694700 833640 868375 1042050 1389400 1736750 2084100 2605125 3473500 4168200 4341875 5210250 6947000 8683750 10420500 13025625 17367500 20841000 26051250 34735000 52102500 104205000