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104388000 = 253538699
BaseRepresentation
bin1100011100011…
…01010110100000
321021102110102020
412032031112200
5203210404000
614205221440
72405166123
oct616152640
9237373366
10104388000
1153a19282
122ab61880
131881bb62
14dc143ba
15926eba0
hex638d5a0

104388000 has 96 divisors (see below), whose sum is σ = 342014400. Its totient is φ = 27833600.

The previous prime is 104387981. The next prime is 104388049. The reversal of 104388000 is 883401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7651 + ... + 16349.

It is an arithmetic number, because the mean of its divisors is an integer number (3562650).

Almost surely, 2104388000 is an apocalyptic number.

104388000 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 104388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171007200).

104388000 is an abundant number, since it is smaller than the sum of its proper divisors (237626400).

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

104388000 is an equidigital number, since it uses as much as digits as its factorization.

104388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8727 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 104388000 is about 10217.0445824612. The cubic root of 104388000 is about 470.8510309130.

The spelling of 104388000 in words is "one hundred four million, three hundred eighty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 8699 12000 17398 26097 34796 43495 52194 69592 86990 104388 130485 139184 173980 208776 217475 260970 278368 347960 417552 434950 521940 652425 695920 835104 869900 1043880 1087375 1304850 1391840 1739800 2087760 2174750 2609700 3262125 3479600 4175520 4349500 5219400 6524250 6959200 8699000 10438800 13048500 17398000 20877600 26097000 34796000 52194000 104388000