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5084310 = 2357113171
BaseRepresentation
bin10011011001010010010110
3100120022100210
4103121102112
52300144220
6300550250
761134030
oct23312226
910508323
105084310
112962a10
121852386
13109028a
14964c50
156a66e0
hex4d9496

5084310 has 128 divisors (see below), whose sum is σ = 15925248. Its totient is φ = 1008000.

The previous prime is 5084269. The next prime is 5084333. The reversal of 5084310 is 134805.

5084310 = 2182 + 2192 + ... + 2942.

It is a super-4 number, since 4×50843104 (a number of 28 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 71575 + ... + 71645.

It is an arithmetic number, because the mean of its divisors is an integer number (124416).

Almost surely, 25084310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5084310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962624).

5084310 is an abundant number, since it is smaller than the sum of its proper divisors (10840938).

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

5084310 is a wasteful number, since it uses less digits than its factorization.

5084310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5084310 is about 2254.8414578413. The cubic root of 5084310 is about 171.9533630543.

The spelling of 5084310 in words is "five million, eighty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 31 33 35 42 55 62 66 70 71 77 93 105 110 142 154 155 165 186 210 213 217 231 310 330 341 355 385 426 434 462 465 497 651 682 710 770 781 930 994 1023 1065 1085 1155 1302 1491 1562 1705 2046 2130 2170 2201 2310 2343 2387 2485 2982 3255 3410 3905 4402 4686 4774 4970 5115 5467 6510 6603 7161 7455 7810 10230 10934 11005 11715 11935 13206 14322 14910 15407 16401 22010 23430 23870 24211 27335 30814 32802 33015 35805 46221 48422 54670 66030 71610 72633 77035 82005 92442 121055 145266 154070 164010 169477 231105 242110 338954 363165 462210 508431 726330 847385 1016862 1694770 2542155 5084310