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5129580 = 22351747107
BaseRepresentation
bin10011100100010101101100
3100122121110110
4103210111230
52303121310
6301540020
761413021
oct23442554
910577413
105129580
112993a25
121874610
1310a7a71
14977548
156b4d20
hex4e456c

5129580 has 96 divisors (see below), whose sum is σ = 15676416. Its totient is φ = 1248256.

The previous prime is 5129557. The next prime is 5129581. The reversal of 5129580 is 859215.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5129581) 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 31 ways as a sum of consecutive naturals, for example, 47887 + ... + 47993.

It is an arithmetic number, because the mean of its divisors is an integer number (163296).

Almost surely, 25129580 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 5129580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838208).

5129580 is an abundant number, since it is smaller than the sum of its proper divisors (10546836).

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

5129580 is a wasteful number, since it uses less digits than its factorization.

5129580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 5129580 is about 2264.8576114184. The cubic root of 5129580 is about 172.4622055405.

The spelling of 5129580 in words is "five million, one hundred twenty-nine thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 107 141 170 188 204 214 235 255 282 321 340 428 470 510 535 564 642 705 799 940 1020 1070 1284 1410 1598 1605 1819 2140 2397 2820 3196 3210 3638 3995 4794 5029 5457 6420 7276 7990 9095 9588 10058 10914 11985 15087 15980 18190 20116 21828 23970 25145 27285 30174 36380 47940 50290 54570 60348 75435 85493 100580 109140 150870 170986 256479 301740 341972 427465 512958 854930 1025916 1282395 1709860 2564790 5129580