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8442105 = 357374153
BaseRepresentation
bin100000001101…
…000011111001
3120212220101120
4200031003321
54130121410
6500535453
7131520360
oct40150371
916786346
108442105
114846751
1229b1589
131997739
14119a7d7
15b1b570
hex80d0f9

8442105 has 64 divisors (see below), whose sum is σ = 16547328. Its totient is φ = 3594240.

The previous prime is 8442097. The next prime is 8442107. The reversal of 8442105 is 5012448.

8442105 = T1 + T2 + ... + T369.

8442105 is a nontrivial binomial coefficient, being equal to C(371, 3).

It is not a de Polignac number, because 8442105 - 23 = 8442097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8442107) by changing a digit.

It is the 369-th tetrahedral number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159259 + ... + 159311.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 28442105 is an apocalyptic number.

It is an amenable number.

8442105 is a deficient number, since it is larger than the sum of its proper divisors (8105223).

8442105 is a wasteful number, since it uses less digits than its factorization.

8442105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 8442105 is about 2905.5300721211. The cubic root of 8442105 is about 203.6183512291.

The spelling of 8442105 in words is "eight million, four hundred forty-two thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 37 41 53 105 111 123 159 185 205 259 265 287 371 555 615 777 795 861 1113 1295 1435 1517 1855 1961 2173 3885 4305 4551 5565 5883 6519 7585 9805 10619 10865 13727 15211 22755 29415 31857 32595 41181 45633 53095 68635 76055 80401 159285 205905 228165 241203 402005 562807 1206015 1688421 2814035 8442105