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20484180 = 22325313671
BaseRepresentation
bin100111000100…
…1000001010100
31102112201000100
41032021001110
520220443210
62011014100
7336053433
oct116110124
942481010
1020484180
1110621082
126a3a330
134322922
142a1311a
151be95c0
hex1389054

20484180 has 72 divisors (see below), whose sum is σ = 64157184. Its totient is φ = 5284800.

The previous prime is 20484161. The next prime is 20484193. The reversal of 20484180 is 8148402.

20484180 is a `hidden beast` number, since 2 + 0 + 484 + 180 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3745 + ... + 7415.

It is an arithmetic number, because the mean of its divisors is an integer number (891072).

Almost surely, 220484180 is an apocalyptic number.

20484180 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 20484180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32078592).

20484180 is an abundant number, since it is smaller than the sum of its proper divisors (43673004).

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

20484180 is a wasteful number, since it uses less digits than its factorization.

20484180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 20484180 is about 4525.9452051478. The cubic root of 20484180 is about 273.6147640027.

The spelling of 20484180 in words is "twenty million, four hundred eighty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 3671 5580 7342 11013 14684 18355 22026 33039 36710 44052 55065 66078 73420 110130 113801 132156 165195 220260 227602 330390 341403 455204 569005 660780 682806 1024209 1138010 1365612 1707015 2048418 2276020 3414030 4096836 5121045 6828060 10242090 20484180