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104011000 = 2353472213
BaseRepresentation
bin1100011001100…
…01010011111000
321020201022021021
412030301103320
5203111323000
614153152224
72402036032
oct614612370
9236638237
10104011000
1153791005
122a9bb674
1318719392
14db56c52
1591e811a
hex63314f8

104011000 has 64 divisors (see below), whose sum is σ = 248676480. Its totient is φ = 40700800.

The previous prime is 104010989. The next prime is 104011003. The reversal of 104011000 is 110401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104011003) 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 15 ways as a sum of consecutive naturals, for example, 45894 + ... + 48106.

It is an arithmetic number, because the mean of its divisors is an integer number (3885570).

Almost surely, 2104011000 is an apocalyptic number.

104011000 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 104011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124338240).

104011000 is an abundant number, since it is smaller than the sum of its proper divisors (144665480).

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

104011000 is a wasteful number, since it uses less digits than its factorization.

104011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 104011000 is about 10198.5783322971. The cubic root of 104011000 is about 470.2835168837.

Adding to 104011000 its reverse (110401), we get a palindrome (104121401).

The spelling of 104011000 in words is "one hundred four million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2213 2350 4426 4700 5875 8852 9400 11065 11750 17704 22130 23500 44260 47000 55325 88520 104011 110650 208022 221300 276625 416044 442600 520055 553250 832088 1040110 1106500 2080220 2213000 2600275 4160440 5200550 10401100 13001375 20802200 26002750 52005500 104011000