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2486680 = 235783107
BaseRepresentation
bin1001011111000110011000
311200100002021
421133012120
51114033210
6125144224
730064540
oct11370630
94610067
102486680
111449309
129bb074
13690b11
1448a320
15341bda
hex25f198

2486680 has 64 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 834432.

The previous prime is 2486677. The next prime is 2486681. The reversal of 2486680 is 866842.

2486680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2486681) 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, 23187 + ... + 23293.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

22486680 is an apocalyptic number.

2486680 is a gapful number since it is divisible by the number (20) 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 2486680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2486680 is an abundant number, since it is smaller than the sum of its proper divisors (4045160).

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

2486680 is a wasteful number, since it uses less digits than its factorization.

2486680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2486680 is about 1576.9210506554. The cubic root of 2486680 is about 135.4794111862.

The spelling of 2486680 in words is "two million, four hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 107 140 166 214 280 332 415 428 535 581 664 749 830 856 1070 1162 1498 1660 2140 2324 2905 2996 3320 3745 4280 4648 5810 5992 7490 8881 11620 14980 17762 23240 29960 35524 44405 62167 71048 88810 124334 177620 248668 310835 355240 497336 621670 1243340 2486680