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36064 = 257223
BaseRepresentation
bin1000110011100000
31211110201
420303200
52123224
6434544
7210100
oct106340
954421
1036064
1125106
1218a54
1313552
14d200
15aa44
hex8ce0

36064 has 36 divisors (see below), whose sum is σ = 86184. Its totient is φ = 14784.

The previous prime is 36061. The next prime is 36067. The reversal of 36064 is 46063.

36064 = 43 + 53 + ... + 193.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36061) and next prime (36067).

It is a super-2 number, since 2×360642 = 2601224192, which contains 22 as substring.

It is a nialpdrome in base 9, base 14 and base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1557 + ... + 1579.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

236064 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 36064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092).

36064 is an abundant number, since it is smaller than the sum of its proper divisors (50120).

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

36064 is a wasteful number, since it uses less digits than its factorization.

36064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 36064 is about 189.9052395275. The cubic root of 36064 is about 33.0388278814.

Subtracting 36064 from its reverse (46063), we obtain a palindrome (9999).

It can be divided in two parts, 360 and 64, that added together give a palindrome (424).

The spelling of 36064 in words is "thirty-six thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 4508 5152 9016 18032 36064