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36140 = 22513139
BaseRepresentation
bin1000110100101100
31211120112
420310230
52124030
6435152
7210236
oct106454
954515
1036140
1125175
1218ab8
13135b0
14d256
15aa95
hex8d2c

36140 has 24 divisors (see below), whose sum is σ = 82320. Its totient is φ = 13248.

The previous prime is 36137. The next prime is 36151. The reversal of 36140 is 4163.

It is an Ulam number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (3430).

236140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41160).

36140 is an abundant number, since it is smaller than the sum of its proper divisors (46180).

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

36140 is a wasteful number, since it uses less digits than its factorization.

36140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 36140 is about 190.1052340153. The cubic root of 36140 is about 33.0620198841.

The spelling of 36140 in words is "thirty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1807 2780 3614 7228 9035 18070 36140