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36260 = 2257237
BaseRepresentation
bin1000110110100100
31211201222
420312210
52130020
6435512
7210500
oct106644
954658
1036260
1125274
1218b98
1313673
14d300
15ab25
hex8da4

36260 has 36 divisors (see below), whose sum is σ = 90972. Its totient is φ = 12096.

The previous prime is 36251. The next prime is 36263. The reversal of 36260 is 6263.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 12544 = 154^2 + 112^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (36263) by changing a digit.

36260 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 962 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (2527).

236260 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 36260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45486).

36260 is an abundant number, since it is smaller than the sum of its proper divisors (54712).

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

36260 is a wasteful number, since it uses less digits than its factorization.

36260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 36260 is about 190.4205871223. The cubic root of 36260 is about 33.0985727274.

The spelling of 36260 in words is "thirty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1813 2590 3626 5180 7252 9065 18130 36260