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18208680 = 2335753409
BaseRepresentation
bin100010101110…
…1011110101000
31021021002121120
41011131132220
514130134210
61450135240
7310525350
oct105353650
937232546
1018208680
11a3074a6
126121520
133a06c89
1425bdb60
1518ea270
hex115d7a8

18208680 has 128 divisors (see below), whose sum is σ = 63763200. Its totient is φ = 4073472.

The previous prime is 18208661. The next prime is 18208681. The reversal of 18208680 is 8680281.

It is not an unprimeable number, because it can be changed into a prime (18208681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 44316 + ... + 44724.

It is an arithmetic number, because the mean of its divisors is an integer number (498150).

Almost surely, 218208680 is an apocalyptic number.

18208680 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 18208680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31881600).

18208680 is an abundant number, since it is smaller than the sum of its proper divisors (45554520).

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

18208680 is a wasteful number, since it uses less digits than its factorization.

18208680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 18208680 is about 4267.1629919655. The cubic root of 18208680 is about 263.0830215905.

The spelling of 18208680 in words is "eighteen million, two hundred eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 409 420 424 530 636 742 795 818 840 1060 1113 1227 1272 1484 1590 1636 1855 2045 2120 2226 2454 2863 2968 3180 3272 3710 4090 4452 4908 5565 5726 6135 6360 7420 8180 8589 8904 9816 11130 11452 12270 14315 14840 16360 17178 21677 22260 22904 24540 28630 34356 42945 43354 44520 49080 57260 65031 68712 85890 86708 108385 114520 130062 151739 171780 173416 216770 260124 303478 325155 343560 433540 455217 520248 606956 650310 758695 867080 910434 1213912 1300620 1517390 1820868 2276085 2601240 3034780 3641736 4552170 6069560 9104340 18208680