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36240 = 2435151
BaseRepresentation
bin1000110110010000
31211201020
420312100
52124430
6435440
7210441
oct106620
954636
1036240
1125256
1218b80
1313659
14d2c8
15ab10
hex8d90

36240 has 40 divisors (see below), whose sum is σ = 113088. Its totient is φ = 9600.

The previous prime is 36229. The next prime is 36241. The reversal of 36240 is 4263.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (36241) by changing a digit.

36240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165 + ... + 315.

236240 is an apocalyptic number.

36240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56544).

36240 is an abundant number, since it is smaller than the sum of its proper divisors (76848).

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

36240 is a wasteful number, since it uses less digits than its factorization.

36240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 36240 is about 190.3680645487. The cubic root of 36240 is about 33.0924861931.

It can be divided in two parts, 36 and 240, that added together give a triangular number (276 = T23).

The spelling of 36240 in words is "thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1510 1812 2265 2416 3020 3624 4530 6040 7248 9060 12080 18120 36240