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36330 = 2357173
BaseRepresentation
bin1000110111101010
31211211120
420313222
52130310
6440110
7210630
oct106752
954746
1036330
1125328
1219036
13136c8
14d350
15ab70
hex8dea

36330 has 32 divisors (see below), whose sum is σ = 100224. Its totient is φ = 8256.

The previous prime is 36319. The next prime is 36341. The reversal of 36330 is 3363.

Subtracting from 36330 its sum of digits (15), we obtain a triangular number (36315 = T269).

Adding to 36330 its reverse (3363), we get a palindrome (39693).

It can be divided in two parts, 363 and 30, that added together give a palindrome (393).

36330 = T50 + T51 + ... + T69.

It is an interprime number because it is at equal distance from previous prime (36319) and next prime (36341).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (3132).

236330 is an apocalyptic number.

36330 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 36330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50112).

36330 is an abundant number, since it is smaller than the sum of its proper divisors (63894).

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

36330 is a wasteful number, since it uses less digits than its factorization.

36330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 36330 is about 190.6043021550. The cubic root of 36330 is about 33.1198579891.

The spelling of 36330 in words is "thirty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 173 210 346 519 865 1038 1211 1730 2422 2595 3633 5190 6055 7266 12110 18165 36330