Search a number
-
+
36816150 = 2352725009
BaseRepresentation
bin1000110001110…
…0010100010110
32120021110021010
42030130110112
533411104100
63353033050
7624634500
oct214342426
976243233
1036816150
1119866578
12103b5786
137820607
144c64d70
153373750
hex231c516

36816150 has 72 divisors (see below), whose sum is σ = 106232040. Its totient is φ = 8413440.

The previous prime is 36816149. The next prime is 36816151. The reversal of 36816150 is 5161863.

It is an interprime number because it is at equal distance from previous prime (36816149) and next prime (36816151).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36816151) by changing a digit.

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, 4846 + ... + 9854.

It is an arithmetic number, because the mean of its divisors is an integer number (1475445).

Almost surely, 236816150 is an apocalyptic number.

36816150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36816150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53116020).

36816150 is an abundant number, since it is smaller than the sum of its proper divisors (69415890).

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

36816150 is a wasteful number, since it uses less digits than its factorization.

36816150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 36816150 is about 6067.6313335601. The cubic root of 36816150 is about 332.6693504807.

The spelling of 36816150 in words is "thirty-six million, eight hundred sixteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 2450 3675 5009 7350 10018 15027 25045 30054 35063 50090 70126 75135 105189 125225 150270 175315 210378 245441 250450 350630 375675 490882 525945 736323 751350 876575 1051890 1227205 1472646 1753150 2454410 2629725 3681615 5259450 6136025 7363230 12272050 18408075 36816150