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18919980 = 2235517229
BaseRepresentation
bin100100000101…
…1001000101100
31022121020100000
41020023020230
514320414410
61513304300
7316550202
oct110131054
938536300
1018919980
11a752952
126405090
133bc5971
142727072
1519dadc0
hex120b22c

18919980 has 144 divisors (see below), whose sum is σ = 63292320. Its totient is φ = 4727808.

The previous prime is 18919973. The next prime is 18919981. The reversal of 18919980 is 8991981.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18919981) 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, 82506 + ... + 82734.

It is an arithmetic number, because the mean of its divisors is an integer number (439530).

Almost surely, 218919980 is an apocalyptic number.

18919980 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 18919980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31646160).

18919980 is an abundant number, since it is smaller than the sum of its proper divisors (44372340).

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

18919980 is a wasteful number, since it uses less digits than its factorization.

18919980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The square root of 18919980 is about 4349.7103351833. The cubic root of 18919980 is about 266.4650316036.

The spelling of 18919980 in words is "eighteen million, nine hundred nineteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 229 243 255 270 306 324 340 405 458 459 486 510 540 612 687 765 810 916 918 972 1020 1145 1215 1374 1377 1530 1620 1836 2061 2290 2295 2430 2748 2754 3060 3435 3893 4122 4131 4580 4590 4860 5508 6183 6870 6885 7786 8244 8262 9180 10305 11679 12366 13740 13770 15572 16524 18549 19465 20610 20655 23358 24732 27540 30915 35037 37098 38930 41220 41310 46716 55647 58395 61830 70074 74196 77860 82620 92745 105111 111294 116790 123660 140148 175185 185490 210222 222588 233580 278235 315333 350370 370980 420444 525555 556470 630666 700740 945999 1051110 1112940 1261332 1576665 1891998 2102220 3153330 3783996 4729995 6306660 9459990 18919980