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18028980 = 2234531359
BaseRepresentation
bin100010011000…
…1100110110100
31020220222010000
41010301212310
514103411410
61442231300
7306146424
oct104614664
936828100
1018028980
11a1a4492
126055530
133973248
142574484
1518b1dc0
hex11319b4

18028980 has 120 divisors (see below), whose sum is σ = 58544640. Its totient is φ = 4639680.

The previous prime is 18028973. The next prime is 18028999. The reversal of 18028980 is 8982081.

18028980 = T120 + T121 + ... + T478.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 50041 + ... + 50399.

It is an arithmetic number, because the mean of its divisors is an integer number (487872).

Almost surely, 218028980 is an apocalyptic number.

18028980 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 18028980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29272320).

18028980 is an abundant number, since it is smaller than the sum of its proper divisors (40515660).

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

18028980 is a wasteful number, since it uses less digits than its factorization.

18028980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 18028980 is about 4246.0546393093. The cubic root of 18028980 is about 262.2147104629.

The spelling of 18028980 in words is "eighteen million, twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 359 372 405 465 540 558 620 718 810 837 930 1077 1116 1395 1436 1620 1674 1795 1860 2154 2511 2790 3231 3348 3590 4185 4308 5022 5385 5580 6462 7180 8370 9693 10044 10770 11129 12555 12924 16155 16740 19386 21540 22258 25110 29079 32310 33387 38772 44516 48465 50220 55645 58158 64620 66774 96930 100161 111290 116316 133548 145395 166935 193860 200322 222580 290790 300483 333870 400644 500805 581580 600966 667740 901449 1001610 1201932 1502415 1802898 2003220 3004830 3605796 4507245 6009660 9014490 18028980