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20348680 = 23511103449
BaseRepresentation
bin100110110011…
…1111100001000
31102021211010211
41031213330020
520202124210
62004050504
7334650412
oct115477410
942254124
1020348680
11105392a0
126993a34
1342a6051
1429b99b2
151bbe38a
hex1367f08

20348680 has 64 divisors (see below), whose sum is σ = 50544000. Its totient is φ = 7311360.

The previous prime is 20348663. The next prime is 20348689. The reversal of 20348680 is 8684302.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20348689) 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 15 ways as a sum of consecutive naturals, for example, 45096 + ... + 45544.

It is an arithmetic number, because the mean of its divisors is an integer number (789750).

Almost surely, 220348680 is an apocalyptic number.

20348680 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 20348680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25272000).

20348680 is an abundant number, since it is smaller than the sum of its proper divisors (30195320).

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

20348680 is a wasteful number, since it uses less digits than its factorization.

20348680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 20348680 is about 4510.9511192209. The cubic root of 20348680 is about 273.0101209646.

The spelling of 20348680 in words is "twenty million, three hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 412 440 449 515 824 898 1030 1133 1796 2060 2245 2266 3592 4120 4490 4532 4939 5665 8980 9064 9878 11330 17960 19756 22660 24695 39512 45320 46247 49390 92494 98780 184988 197560 231235 369976 462470 508717 924940 1017434 1849880 2034868 2543585 4069736 5087170 10174340 20348680