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36126 = 234223
BaseRepresentation
bin1000110100011110
31211120000
420310132
52124001
6435130
7210216
oct106436
954500
1036126
1125162
1218aa6
131359c
14d246
15aa86
hex8d1e

36126 has 20 divisors (see below), whose sum is σ = 81312. Its totient is φ = 11988.

The previous prime is 36109. The next prime is 36131. The reversal of 36126 is 62163.

It is a happy number.

36126 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 36099 and 36108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 51 + ... + 273.

236126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40656).

36126 is an abundant number, since it is smaller than the sum of its proper divisors (45186).

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

36126 is a wasteful number, since it uses less digits than its factorization.

36126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 36126 is about 190.0684087375. The cubic root of 36126 is about 33.0577501178.

Adding to 36126 its reverse (62163), we get a palindrome (98289).

The spelling of 36126 in words is "thirty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 223 446 669 1338 2007 4014 6021 12042 18063 36126