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104228640 = 25335231049
BaseRepresentation
bin1100011011001…
…10011100100000
321021010100211000
412031212130200
5203140304030
614201552000
72403633405
oct615463440
9237110730
10104228640
115391a57a
122aaa5600
1318794469
14dbb22ac
15923c860
hex6366720

104228640 has 192 divisors, whose sum is σ = 381024000. Its totient is φ = 26560512.

The previous prime is 104228611. The next prime is 104228647. The reversal of 104228640 is 46822401.

104228640 is a `hidden beast` number, since 10 + 4 + 2 + 2 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104228647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98836 + ... + 99884.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 2104228640 is an apocalyptic number.

104228640 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 104228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

104228640 is an abundant number, since it is smaller than the sum of its proper divisors (276795360).

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

104228640 is a wasteful number, since it uses less digits than its factorization.

104228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 104228640 is about 10209.2428710458. The cubic root of 104228640 is about 470.6113065650.

The spelling of 104228640 in words is "one hundred four million, two hundred twenty-eight thousand, six hundred forty".