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104022000 = 2432535779
BaseRepresentation
bin1100011001100…
…11111111110000
321020201212100200
412030303333300
5203112201000
614153315200
72402113065
oct614637760
9236655320
10104022000
11537992a5
122aa05b00
13187213a4
14db5ac6c
1591eb500
hex6333ff0

104022000 has 120 divisors (see below), whose sum is σ = 363377040. Its totient is φ = 27734400.

The previous prime is 104021977. The next prime is 104022011. The reversal of 104022000 is 220401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15111 + ... + 20889.

It is an arithmetic number, because the mean of its divisors is an integer number (3028142).

Almost surely, 2104022000 is an apocalyptic number.

104022000 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 104022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181688520).

104022000 is an abundant number, since it is smaller than the sum of its proper divisors (259355040).

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

104022000 is a wasteful number, since it uses less digits than its factorization.

104022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5808 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 104022000 is about 10199.1176088915. The cubic root of 104022000 is about 470.3000950544.

Adding to 104022000 its reverse (220401), we get a palindrome (104242401).

The spelling of 104022000 in words is "one hundred four million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 5779 6000 9000 11558 17337 18000 23116 28895 34674 46232 52011 57790 69348 86685 92464 104022 115580 138696 144475 173370 208044 231160 260055 277392 288950 346740 416088 433425 462320 520110 577900 693480 722375 832176 866850 1040220 1155800 1300275 1386960 1444750 1733700 2080440 2167125 2311600 2600550 2889500 3467400 4160880 4334250 5201100 5779000 6501375 6934800 8668500 10402200 11558000 13002750 17337000 20804400 26005500 34674000 52011000 104022000