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40260 = 22351161
BaseRepresentation
bin1001110101000100
32001020010
421311010
52242020
6510220
7225243
oct116504
961203
1040260
1128280
121b370
131542c
141095a
15bde0
hex9d44

40260 has 48 divisors (see below), whose sum is σ = 124992. Its totient is φ = 9600.

The previous prime is 40253. The next prime is 40277. The reversal of 40260 is 6204.

Adding to 40260 its reverse (6204), we get a palindrome (46464).

It can be divided in two parts, 40 and 260, that added together give a triangular number (300 = T24).

40260 = T80 + T81 + ... + T90.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 61 × 11 × 60.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40260.

It is an unprimeable number.

40260 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 15 ways as a sum of consecutive naturals, for example, 630 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

240260 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 40260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

40260 is an abundant number, since it is smaller than the sum of its proper divisors (84732).

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

40260 is a wasteful number, since it uses less digits than its factorization.

40260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 40260 is about 200.6489471689. The cubic root of 40260 is about 34.2734579207.

The spelling of 40260 in words is "forty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1830 2013 2684 3355 3660 4026 6710 8052 10065 13420 20130 40260