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13424220 = 223251741107
BaseRepresentation
bin110011001101…
…011001011100
3221021000120100
4303031121130
511414033340
61155421100
7222050445
oct63153134
927230510
1013424220
1176398a7
1245b4790
132a20334
141ad62cc
1512a2830
hexccd65c

13424220 has 144 divisors (see below), whose sum is σ = 44579808. Its totient is φ = 3256320.

The previous prime is 13424161. The next prime is 13424221. The reversal of 13424220 is 2242431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13424193 and 13424202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125407 + ... + 125513.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 213424220 is an apocalyptic number.

13424220 is a gapful number since it is divisible by the number (10) 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 13424220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289904).

13424220 is an abundant number, since it is smaller than the sum of its proper divisors (31155588).

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

13424220 is a wasteful number, since it uses less digits than its factorization.

13424220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13424220 is about 3663.9077499304. The cubic root of 13424220 is about 237.6637909866.

Adding to 13424220 its reverse (2242431), we get a palindrome (15666651).

The spelling of 13424220 in words is "thirteen million, four hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 41 45 51 60 68 82 85 90 102 107 123 153 164 170 180 204 205 214 246 255 306 321 340 369 410 428 492 510 535 612 615 642 697 738 765 820 963 1020 1070 1230 1284 1394 1476 1530 1605 1819 1845 1926 2091 2140 2460 2788 3060 3210 3485 3638 3690 3852 4182 4387 4815 5457 6273 6420 6970 7276 7380 8364 8774 9095 9630 10455 10914 12546 13161 13940 16371 17548 18190 19260 20910 21828 21935 25092 26322 27285 31365 32742 36380 39483 41820 43870 52644 54570 62730 65484 65805 74579 78966 81855 87740 109140 125460 131610 149158 157932 163710 197415 223737 263220 298316 327420 372895 394830 447474 671211 745790 789660 894948 1118685 1342422 1491580 2237370 2684844 3356055 4474740 6712110 13424220