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486240 = 25351013
BaseRepresentation
bin1110110101101100000
3220200222220
41312231200
5111024430
614231040
74063416
oct1665540
9820886
10486240
11302357
121b5480
13140421
14c92b6
1599110
hex76b60

486240 has 48 divisors (see below), whose sum is σ = 1533168. Its totient is φ = 129536.

The previous prime is 486223. The next prime is 486247. The reversal of 486240 is 42684.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 486240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486247) by changing a digit.

486240 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, 27 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (31941).

2486240 is an apocalyptic number.

486240 is a gapful number since it is divisible by the number (40) 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 486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766584).

486240 is an abundant number, since it is smaller than the sum of its proper divisors (1046928).

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

486240 is a wasteful number, since it uses less digits than its factorization.

486240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 486240 is about 697.3091136648. The cubic root of 486240 is about 78.6351816293.

Subtracting from 486240 its reverse (42684), we obtain a square (443556 = 6662).

The spelling of 486240 in words is "four hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1013 2026 3039 4052 5065 6078 8104 10130 12156 15195 16208 20260 24312 30390 32416 40520 48624 60780 81040 97248 121560 162080 243120 486240