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20348280 = 2333583227
BaseRepresentation
bin100110110011…
…1110101111000
31102021210121000
41031213311320
520202121110
62004045000
7334646301
oct115476570
942253530
1020348280
1110538a67
126993760
1342a5b04
1429b97a8
151bbe1c0
hex1367d78

20348280 has 128 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 5337216.

The previous prime is 20348257. The next prime is 20348281. The reversal of 20348280 is 8284302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20348281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89527 + ... + 89753.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 220348280 is an apocalyptic number.

20348280 is a gapful number since it is divisible by the number (20) 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 20348280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

20348280 is an abundant number, since it is smaller than the sum of its proper divisors (48598920).

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

20348280 is a wasteful number, since it uses less digits than its factorization.

20348280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20348280 is about 4510.9067824552. The cubic root of 20348280 is about 273.0083320727.

The spelling of 20348280 in words is "twenty million, three hundred forty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 83 90 108 120 135 166 180 216 227 249 270 332 360 415 454 498 540 664 681 747 830 908 996 1080 1135 1245 1362 1494 1660 1816 1992 2043 2241 2270 2490 2724 2988 3320 3405 3735 4086 4482 4540 4980 5448 5976 6129 6810 7470 8172 8964 9080 9960 10215 11205 12258 13620 14940 16344 17928 18841 20430 22410 24516 27240 29880 30645 37682 40860 44820 49032 56523 61290 75364 81720 89640 94205 113046 122580 150728 169569 188410 226092 245160 282615 339138 376820 452184 508707 565230 678276 753640 847845 1017414 1130460 1356552 1695690 2034828 2260920 2543535 3391380 4069656 5087070 6782760 10174140 20348280