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104229440 = 2657193179
BaseRepresentation
bin1100011011001…
…10101001000000
321021010101220122
412031212221000
5203140320230
614201555412
72403635630
oct615465100
9237111818
10104229440
1153920137
122aaa5b68
1318794933
14dbb26c0
15923cbe5
hex6366a40

104229440 has 224 divisors, whose sum is σ = 312115200. Its totient is φ = 32348160.

The previous prime is 104229401. The next prime is 104229443. The reversal of 104229440 is 44922401.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (104229443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1319321 + ... + 1319399.

Almost surely, 2104229440 is an apocalyptic number.

104229440 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 104229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156057600).

104229440 is an abundant number, since it is smaller than the sum of its proper divisors (207885760).

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

104229440 is a wasteful number, since it uses less digits than its factorization.

104229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 104229440 is about 10209.2820511533. The cubic root of 104229440 is about 470.6125106105.

The spelling of 104229440 in words is "one hundred four million, two hundred twenty-nine thousand, four hundred forty".