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20238180 = 2235595717
BaseRepresentation
bin100110100110…
…0111101100100
31102002012120020
41031030331210
520140110210
62001435140
7334010304
oct115147544
942065506
1020238180
1110473276
12693bab0
134267971
14298b604
151b9b770
hex134cf64

20238180 has 48 divisors (see below), whose sum is σ = 57637440. Its totient is φ = 5304448.

The previous prime is 20238151. The next prime is 20238191. The reversal of 20238180 is 8183202.

It is a self number, because there is not a number n which added to its sum of digits gives 20238180.

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, 682 + ... + 6398.

It is an arithmetic number, because the mean of its divisors is an integer number (1200780).

Almost surely, 220238180 is an apocalyptic number.

20238180 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 20238180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28818720).

20238180 is an abundant number, since it is smaller than the sum of its proper divisors (37399260).

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

20238180 is a wasteful number, since it uses less digits than its factorization.

20238180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 20238180 is about 4498.6864749613. The cubic root of 20238180 is about 272.5150456019.

The spelling of 20238180 in words is "twenty million, two hundred thirty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 5717 11434 17151 22868 28585 34302 57170 68604 85755 114340 171510 337303 343020 674606 1011909 1349212 1686515 2023818 3373030 4047636 5059545 6746060 10119090 20238180