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20258180 = 2251989599
BaseRepresentation
bin100110101000…
…1110110000100
31102010012222222
41031101312010
520141230210
62002111512
7334122515
oct115216604
942105888
1020258180
11104872a8
12694b598
134273ab7
142994a0c
151ba2655
hex1351d84

20258180 has 48 divisors (see below), whose sum is σ = 45360000. Its totient is φ = 7577856.

The previous prime is 20258177. The next prime is 20258191. The reversal of 20258180 is 8185202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33521 + ... + 34119.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 220258180 is an apocalyptic number.

20258180 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 20258180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680000).

20258180 is an abundant number, since it is smaller than the sum of its proper divisors (25101820).

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

20258180 is a wasteful number, since it uses less digits than its factorization.

20258180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 20258180 is about 4500.9087971209. The cubic root of 20258180 is about 272.6047853333.

The spelling of 20258180 in words is "twenty million, two hundred fifty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 178 190 356 380 445 599 890 1198 1691 1780 2396 2995 3382 5990 6764 8455 11381 11980 16910 22762 33820 45524 53311 56905 106622 113810 213244 227620 266555 533110 1012909 1066220 2025818 4051636 5064545 10129090 20258180