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36108006 = 23111075113
BaseRepresentation
bin1000100110111…
…1011011100110
32111221110212120
42021233123212
533220424011
63325530410
7615625104
oct211573346
974843776
1036108006
1119422530
1210113a06
1376331ac
144b1cc74
153283a06
hex226f6e6

36108006 has 32 divisors (see below), whose sum is σ = 79532928. Its totient is φ = 10837440.

The previous prime is 36108001. The next prime is 36108013. The reversal of 36108006 is 60080163.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36108001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4506 + ... + 9618.

It is an arithmetic number, because the mean of its divisors is an integer number (2485404).

Almost surely, 236108006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36108006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39766464).

36108006 is an abundant number, since it is smaller than the sum of its proper divisors (43424922).

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

36108006 is a wasteful number, since it uses less digits than its factorization.

36108006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 36108006 is about 6008.9937593577. The cubic root of 36108006 is about 330.5226062783.

Adding to 36108006 its reverse (60080163), we get a palindrome (96188169).

The spelling of 36108006 in words is "thirty-six million, one hundred eight thousand, six".

Divisors: 1 2 3 6 11 22 33 66 107 214 321 642 1177 2354 3531 5113 7062 10226 15339 30678 56243 112486 168729 337458 547091 1094182 1641273 3282546 6018001 12036002 18054003 36108006