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18232020 = 22335191777
BaseRepresentation
bin100010110001…
…1001011010100
31021022021122000
41011203023110
514131411040
61450435300
7310653402
oct105431324
937267560
1018232020
11a322a94
126132b30
133a147a1
1425c8472
151902130
hex11632d4

18232020 has 96 divisors (see below), whose sum is σ = 59740800. Its totient is φ = 4603392.

The previous prime is 18231991. The next prime is 18232021. The reversal of 18232020 is 2023281.

It is a happy number.

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 = 18231984 and 18232002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18232021) 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 31 ways as a sum of consecutive naturals, for example, 9372 + ... + 11148.

It is an arithmetic number, because the mean of its divisors is an integer number (622300).

Almost surely, 218232020 is an apocalyptic number.

18232020 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 18232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29870400).

18232020 is an abundant number, since it is smaller than the sum of its proper divisors (41508780).

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

18232020 is a wasteful number, since it uses less digits than its factorization.

18232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 18232020 is about 4269.8969542601. The cubic root of 18232020 is about 263.1953807512.

The spelling of 18232020 in words is "eighteen million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 1777 2052 2565 3420 3554 5130 5331 7108 8885 10260 10662 15993 17770 21324 26655 31986 33763 35540 47979 53310 63972 67526 79965 95958 101289 106620 135052 159930 168815 191916 202578 239895 303867 319860 337630 405156 479790 506445 607734 675260 911601 959580 1012890 1215468 1519335 1823202 2025780 3038670 3646404 4558005 6077340 9116010 18232020