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4247320 = 2357211197
BaseRepresentation
bin10000001100111100011000
321222210020011
4100030330120
52041403240
6231011304
751046600
oct20147430
97883204
104247320
112441090
121509b34
13b5930c
147c7c00
1558d6ea
hex40cf18

4247320 has 96 divisors (see below), whose sum is σ = 12188880. Its totient is φ = 1317120.

The previous prime is 4247281. The next prime is 4247333. The reversal of 4247320 is 237424.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 4 + 29 + 411 + 72 + 39 + 215 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4247291 and 4247300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21462 + ... + 21658.

Almost surely, 24247320 is an apocalyptic number.

4247320 is a gapful number since it is divisible by the number (40) 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 4247320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094440).

4247320 is an abundant number, since it is smaller than the sum of its proper divisors (7941560).

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

4247320 is a wasteful number, since it uses less digits than its factorization.

4247320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 4247320 is about 2060.9027148315. The cubic root of 4247320 is about 161.9465352199.

It can be divided in two parts, 424 and 7320, that added together give a square (7744 = 882).

The spelling of 4247320 in words is "four million, two hundred forty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 197 220 245 280 308 385 392 394 440 490 539 616 770 788 980 985 1078 1379 1540 1576 1960 1970 2156 2167 2695 2758 3080 3940 4312 4334 5390 5516 6895 7880 8668 9653 10780 10835 11032 13790 15169 17336 19306 21560 21670 27580 30338 38612 43340 48265 55160 60676 75845 77224 86680 96530 106183 121352 151690 193060 212366 303380 386120 424732 530915 606760 849464 1061830 2123660 4247320