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18185040 = 243358419
BaseRepresentation
bin100010101011…
…1101101010000
31021012220012000
41011113231100
514123410130
61445434000
7310366416
oct105275520
937186160
1018185040
11a2a0765
12610b900
1339c92a3
1425b52b6
1518e3260
hex1157b50

18185040 has 80 divisors (see below), whose sum is σ = 62644800. Its totient is φ = 4848768.

The previous prime is 18185029. The next prime is 18185077. The reversal of 18185040 is 4058181.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 18184995 and 18185013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2050 + ... + 6369.

It is an arithmetic number, because the mean of its divisors is an integer number (783060).

Almost surely, 218185040 is an apocalyptic number.

18185040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18185040 is an abundant number, since it is smaller than the sum of its proper divisors (44459760).

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

18185040 is a wasteful number, since it uses less digits than its factorization.

18185040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8441 (or 8429 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 18185040 is about 4264.3921020469. The cubic root of 18185040 is about 262.9691203076.

The spelling of 18185040 in words is "eighteen million, one hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 8419 16838 25257 33676 42095 50514 67352 75771 84190 101028 126285 134704 151542 168380 202056 227313 252570 303084 336760 378855 404112 454626 505140 606168 673520 757710 909252 1010280 1136565 1212336 1515420 1818504 2020560 2273130 3030840 3637008 4546260 6061680 9092520 18185040