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104421920 = 255897333
BaseRepresentation
bin1100011100101…
…01101000100000
321021111011221112
412032111220200
5203213000140
614210042452
72405400041
oct616255040
9237434845
10104421920
1153a41809
122ab79428
1318831425
14dc228c8
159279c65
hex6395a20

104421920 has 48 divisors (see below), whose sum is σ = 249502680. Its totient is φ = 41293824.

The previous prime is 104421887. The next prime is 104421997. The reversal of 104421920 is 29124401.

It can be written as a sum of positive squares in 4 ways, for example, as 32307856 + 72114064 = 5684^2 + 8492^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10574 + ... + 17906.

Almost surely, 2104421920 is an apocalyptic number.

104421920 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 104421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124751340).

104421920 is an abundant number, since it is smaller than the sum of its proper divisors (145080760).

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

104421920 is an equidigital number, since it uses as much as digits as its factorization.

104421920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7429 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 104421920 is about 10218.7044188586. The cubic root of 104421920 is about 470.9020250802.

The spelling of 104421920 in words is "one hundred four million, four hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 7120 7333 14240 14666 29332 36665 58664 73330 117328 146660 234656 293320 586640 652637 1173280 1305274 2610548 3263185 5221096 6526370 10442192 13052740 20884384 26105480 52210960 104421920