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5310480 = 2435729109
BaseRepresentation
bin10100010000100000010000
3100222210121110
4110100200100
52324413410
6305453320
763065310
oct24204020
910883543
105310480
112aa792a
121941240
13113c1c6
149c3440
156ed720
hex510810

5310480 has 160 divisors (see below), whose sum is σ = 19641600. Its totient is φ = 1161216.

The previous prime is 5310467. The next prime is 5310491. The reversal of 5310480 is 840135.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48666 + ... + 48774.

It is an arithmetic number, because the mean of its divisors is an integer number (122760).

Almost surely, 25310480 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 5310480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820800).

5310480 is an abundant number, since it is smaller than the sum of its proper divisors (14331120).

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

5310480 is a wasteful number, since it uses less digits than its factorization.

5310480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

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

The square root of 5310480 is about 2304.4478731358. The cubic root of 5310480 is about 174.4661828323.

The spelling of 5310480 in words is "five million, three hundred ten thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 109 112 116 120 140 145 168 174 203 210 218 232 240 280 290 327 336 348 406 420 435 436 464 545 560 580 609 654 696 763 812 840 870 872 1015 1090 1160 1218 1308 1392 1526 1624 1635 1680 1740 1744 2030 2180 2289 2320 2436 2616 3045 3052 3161 3248 3270 3480 3815 4060 4360 4578 4872 5232 6090 6104 6322 6540 6960 7630 8120 8720 9156 9483 9744 11445 12180 12208 12644 13080 15260 15805 16240 18312 18966 22127 22890 24360 25288 26160 30520 31610 36624 37932 44254 45780 47415 48720 50576 61040 63220 66381 75864 88508 91560 94830 110635 126440 132762 151728 177016 183120 189660 221270 252880 265524 331905 354032 379320 442540 531048 663810 758640 885080 1062096 1327620 1770160 2655240 5310480