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18016020 = 2235511337
BaseRepresentation
bin100010010111…
…0011100010100
31020220022100000
41010232130110
514103003040
61442051300
7306063561
oct104563424
936808300
1018016020
11a195780
126049b30
13396a389
14256d868
1518ad130
hex112e714

18016020 has 144 divisors (see below), whose sum is σ = 62008128. Its totient is φ = 4354560.

The previous prime is 18016007. The next prime is 18016021. The reversal of 18016020 is 2061081.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 18015984 and 18016002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18016021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 53292 + ... + 53628.

It is an arithmetic number, because the mean of its divisors is an integer number (430612).

Almost surely, 218016020 is an apocalyptic number.

18016020 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 18016020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31004064).

18016020 is an abundant number, since it is smaller than the sum of its proper divisors (43992108).

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

18016020 is a wasteful number, since it uses less digits than its factorization.

18016020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 18016020 is about 4244.5282423374. The cubic root of 18016020 is about 262.1518650282.

The spelling of 18016020 in words is "eighteen million, sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 337 396 405 486 495 540 594 660 674 810 891 972 990 1011 1188 1215 1348 1485 1620 1685 1782 1980 2022 2430 2673 2970 3033 3370 3564 3707 4044 4455 4860 5055 5346 5940 6066 6740 7414 8910 9099 10110 10692 11121 12132 13365 14828 15165 17820 18198 18535 20220 22242 26730 27297 30330 33363 36396 37070 44484 45495 53460 54594 55605 60660 66726 74140 81891 90990 100089 109188 111210 133452 136485 163782 166815 181980 200178 222420 272970 300267 327564 333630 400356 409455 500445 545940 600534 667260 818910 900801 1000890 1201068 1501335 1637820 1801602 2001780 3002670 3603204 4504005 6005340 9008010 18016020