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3800106 = 2322367137
BaseRepresentation
bin1110011111110000101010
321011001202200
432133300222
51433100411
6213241030
744205012
oct16376052
97131680
103800106
112166092
121333176
13a308ab
1470cc42
15500e56
hex39fc2a

3800106 has 48 divisors (see below), whose sum is σ = 8783424. Its totient is φ = 1184832.

The previous prime is 3800081. The next prime is 3800107. The reversal of 3800106 is 6010083.

It is a super-2 number, since 2×38001062 = 28881611222472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3800107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27670 + ... + 27806.

It is an arithmetic number, because the mean of its divisors is an integer number (182988).

Almost surely, 23800106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3800106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391712).

3800106 is an abundant number, since it is smaller than the sum of its proper divisors (4983318).

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

3800106 is a wasteful number, since it uses less digits than its factorization.

3800106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3800106 is about 1949.3860571985. The cubic root of 3800106 is about 156.0505260399.

Adding to 3800106 its reverse (6010083), we get a palindrome (9810189).

The spelling of 3800106 in words is "three million, eight hundred thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 46 67 69 134 137 138 201 207 274 402 411 414 603 822 1206 1233 1541 2466 3082 3151 4623 6302 9179 9246 9453 13869 18358 18906 27537 27738 28359 55074 56718 82611 165222 211117 422234 633351 1266702 1900053 3800106