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2683126480 = 24559619319
BaseRepresentation
bin1001111111101101…
…0100001011010000
320220222202221120211
42133323110023100
520443340021410
61122124413504
7123330125116
oct23773241320
96828687524
102683126480
111157611701
1262a6a7294
13339b59408
141b64bdab6
1510a85068a
hex9fed42d0

2683126480 has 80 divisors (see below), whose sum is σ = 6448694400. Its totient is φ = 1037652480.

The previous prime is 2683126471. The next prime is 2683126483. The reversal of 2683126480 is 846213862.

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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2683126483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283261 + ... + 292579.

It is an arithmetic number, because the mean of its divisors is an integer number (80608680).

Almost surely, 22683126480 is an apocalyptic number.

2683126480 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 2683126480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224347200).

2683126480 is an abundant number, since it is smaller than the sum of its proper divisors (3765567920).

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

2683126480 is a wasteful number, since it uses less digits than its factorization.

2683126480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9452 (or 9446 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 2683126480 is about 51798.9042355145. The cubic root of 2683126480 is about 1389.5698477478.

The spelling of 2683126480 in words is "two billion, six hundred eighty-three million, one hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 59 61 80 118 122 236 244 295 305 472 488 590 610 944 976 1180 1220 2360 2440 3599 4720 4880 7198 9319 14396 17995 18638 28792 35990 37276 46595 57584 71980 74552 93190 143960 149104 186380 287920 372760 549821 568459 745520 1099642 1136918 2199284 2273836 2749105 2842295 4398568 4547672 5498210 5684590 8797136 9095344 10996420 11369180 21992840 22738360 33539081 43985680 45476720 67078162 134156324 167695405 268312648 335390810 536625296 670781620 1341563240 2683126480