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18680220 = 2234513887
BaseRepresentation
bin100011101000…
…0100110011100
31022011001110000
41013100212130
514240231340
61504214300
7314531166
oct107204634
938131400
1018680220
11a5a97a9
12630a390
133b407b0
1426a3936
15198ed30
hex11d099c

18680220 has 120 divisors (see below), whose sum is σ = 63179424. Its totient is φ = 4593024.

The previous prime is 18680219. The next prime is 18680231. The reversal of 18680220 is 2208681.

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

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, 20617 + ... + 21503.

Almost surely, 218680220 is an apocalyptic number.

18680220 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 18680220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31589712).

18680220 is an abundant number, since it is smaller than the sum of its proper divisors (44499204).

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

18680220 is a wasteful number, since it uses less digits than its factorization.

18680220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18680220 is about 4322.0620078847. The cubic root of 18680220 is about 265.3346667666.

The spelling of 18680220 in words is "eighteen million, six hundred eighty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 887 1053 1170 1404 1620 1755 1774 2106 2340 2661 3510 3548 4212 4435 5265 5322 7020 7983 8870 10530 10644 11531 13305 15966 17740 21060 23062 23949 26610 31932 34593 39915 46124 47898 53220 57655 69186 71847 79830 95796 103779 115310 119745 138372 143694 159660 172965 207558 230620 239490 287388 311337 345930 359235 415116 478980 518895 622674 691860 718470 934011 1037790 1245348 1436940 1556685 1868022 2075580 3113370 3736044 4670055 6226740 9340110 18680220