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18412920 = 233455683
BaseRepresentation
bin100011000111…
…1010101111000
31021122110210000
41012033111320
514203203140
61454353000
7312335661
oct106172570
937573700
1018412920
11a436999
1261bb760
133a78c26
142634368
15193aa30
hex118f578

18412920 has 80 divisors (see below), whose sum is σ = 61898760. Its totient is φ = 4909248.

The previous prime is 18412879. The next prime is 18412931. The reversal of 18412920 is 2921481.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 399 + ... + 6081.

Almost surely, 218412920 is an apocalyptic number.

18412920 is a gapful number since it is divisible by the number (10) 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 18412920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30949380).

18412920 is an abundant number, since it is smaller than the sum of its proper divisors (43485840).

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

18412920 is a wasteful number, since it uses less digits than its factorization.

18412920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5706 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18412920 is about 4291.0278488959. The cubic root of 18412920 is about 264.0630014929.

It can be divided in two parts, 1841 and 2920, that added together give a square (4761 = 692).

The spelling of 18412920 in words is "eighteen million, four hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 5683 11366 17049 22732 28415 34098 45464 51147 56830 68196 85245 102294 113660 136392 153441 170490 204588 227320 255735 306882 340980 409176 460323 511470 613764 681960 767205 920646 1022940 1227528 1534410 1841292 2045880 2301615 3068820 3682584 4603230 6137640 9206460 18412920