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20305124 = 22731149157
BaseRepresentation
bin100110101110…
…1010011100100
31102012121101122
41031131103210
520144230444
62003113112
7334406420
oct115352344
942177348
1020305124
11105095a4
126972798
13428c288
1429a7b80
151bb14ee
hex135d4e4

20305124 has 48 divisors (see below), whose sum is σ = 42470400. Its totient is φ = 8311680.

The previous prime is 20305097. The next prime is 20305151. The reversal of 20305124 is 42150302.

It is an interprime number because it is at equal distance from previous prime (20305097) and next prime (20305151).

It is a congruent number.

It is an unprimeable number.

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, 129254 + ... + 129410.

It is an arithmetic number, because the mean of its divisors is an integer number (884800).

Almost surely, 220305124 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 20305124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21235200).

20305124 is an abundant number, since it is smaller than the sum of its proper divisors (22165276).

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

20305124 is a wasteful number, since it uses less digits than its factorization.

20305124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 20305124 is about 4506.1207263011. The cubic root of 20305124 is about 272.8151906586.

Adding to 20305124 its reverse (42150302), we get a palindrome (62455426).

The spelling of 20305124 in words is "twenty million, three hundred five thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 62 124 149 157 217 298 314 434 596 628 868 1043 1099 2086 2198 4172 4396 4619 4867 9238 9734 18476 19468 23393 32333 34069 46786 64666 68138 93572 129332 136276 163751 327502 655004 725183 1450366 2900732 5076281 10152562 20305124