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36809136 = 2432713532
BaseRepresentation
bin1000110001101…
…0100110110000
32120021002122100
42030122212300
533410343021
63352540400
7624605160
oct214324660
976232570
1036809136
1119861281
12103b1700
13781a370
144c625a0
153371626
hex231a9b0

36809136 has 180 divisors, whose sum is σ = 129224368. Its totient is φ = 9524736.

The previous prime is 36809077. The next prime is 36809141. The reversal of 36809136 is 63190863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36809136.

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 35 ways as a sum of consecutive naturals, for example, 694486 + ... + 694538.

Almost surely, 236809136 is an apocalyptic number.

36809136 is a gapful number since it is divisible by the number (36) 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 36809136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64612184).

36809136 is an abundant number, since it is smaller than the sum of its proper divisors (92415232).

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

36809136 is a wasteful number, since it uses less digits than its factorization.

36809136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 36809136 is about 6067.0533210118. The cubic root of 36809136 is about 332.6482230587.

Adding to 36809136 its reverse (63190863), we get a palindrome (99999999).

The spelling of 36809136 in words is "thirty-six million, eight hundred nine thousand, one hundred thirty-six".