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18493020 = 223257131129
BaseRepresentation
bin100011010001…
…0111001011100
31021210112122200
41012202321130
514213234040
61500211500
7313121340
oct106427134
937715580
1018493020
11a491097
126239b90
133aa6520
142655620
151954630
hex11a2e5c

18493020 has 144 divisors (see below), whose sum is σ = 69101760. Its totient is φ = 3898368.

The previous prime is 18493001. The next prime is 18493021. The reversal of 18493020 is 2039481.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18493021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15816 + ... + 16944.

Almost surely, 218493020 is an apocalyptic number.

18493020 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 18493020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34550880).

18493020 is an abundant number, since it is smaller than the sum of its proper divisors (50608740).

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

18493020 is a wasteful number, since it uses less digits than its factorization.

18493020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 18493020 is about 4300.3511484529. The cubic root of 18493020 is about 264.4453570939.

The spelling of 18493020 in words is "eighteen million, four hundred ninety-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1129 1170 1260 1365 1638 1820 2258 2340 2730 3276 3387 4095 4516 5460 5645 6774 7903 8190 10161 11290 13548 14677 15806 16380 16935 20322 22580 23709 29354 31612 33870 39515 40644 44031 47418 50805 58708 67740 71127 73385 79030 88062 94836 101610 102739 118545 132093 142254 146770 158060 176124 203220 205478 220155 237090 264186 284508 293540 308217 355635 410956 440310 474180 513695 528372 616434 660465 711270 880620 924651 1027390 1232868 1320930 1422540 1541085 1849302 2054780 2641860 3082170 3698604 4623255 6164340 9246510 18493020