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486640 = 24571179
BaseRepresentation
bin1110110110011110000
3220201112201
41312303300
5111033030
614232544
74064530
oct1666360
9821481
10486640
11302690
121b5754
1314066b
14c94c0
15992ca
hex76cf0

486640 has 80 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 149760.

The previous prime is 486637. The next prime is 486641. The reversal of 486640 is 46684.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 486599 and 486608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6121 + ... + 6199.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2486640 is an apocalyptic number.

486640 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 486640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

486640 is an abundant number, since it is smaller than the sum of its proper divisors (941840).

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

486640 is a wasteful number, since it uses less digits than its factorization.

486640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 486640 is about 697.5958715474. The cubic root of 486640 is about 78.6567385089.

The spelling of 486640 in words is "four hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 79 80 88 110 112 140 154 158 176 220 280 308 316 385 395 440 553 560 616 632 770 790 869 880 1106 1232 1264 1540 1580 1738 2212 2765 3080 3160 3476 4345 4424 5530 6083 6160 6320 6952 8690 8848 11060 12166 13904 17380 22120 24332 30415 34760 44240 48664 60830 69520 97328 121660 243320 486640