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195427980 = 2232511891109
BaseRepresentation
bin10111010010111…
…11111010001100
3111121201202210100
423221133322030
5400012143410
631220411100
74562052606
oct1351377214
9447652710
10195427980
11a034aa30
1255546a90
1331646277
141bd52176
15122548c0
hexba5fe8c

195427980 has 144 divisors (see below), whose sum is σ = 654544800. Its totient is φ = 46801920.

The previous prime is 195427979. The next prime is 195427993. The reversal of 195427980 is 89724591.

195427980 is a `hidden beast` number, since 19 + 542 + 7 + 98 + 0 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175666 + ... + 176774.

It is an arithmetic number, because the mean of its divisors is an integer number (4545450).

Almost surely, 2195427980 is an apocalyptic number.

195427980 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 195427980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327272400).

195427980 is an abundant number, since it is smaller than the sum of its proper divisors (459116820).

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

195427980 is a wasteful number, since it uses less digits than its factorization.

195427980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 195427980 is about 13979.5557869340. Note that the first 3 decimals coincide. The cubic root of 195427980 is about 580.3129306172.

The spelling of 195427980 in words is "one hundred ninety-five million, four hundred twenty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 89 90 99 110 132 165 178 180 198 220 267 330 356 396 445 495 534 660 801 890 979 990 1068 1109 1335 1602 1780 1958 1980 2218 2670 2937 3204 3327 3916 4005 4436 4895 5340 5545 5874 6654 8010 8811 9790 9981 11090 11748 12199 13308 14685 16020 16635 17622 19580 19962 22180 24398 29370 33270 35244 36597 39924 44055 48796 49905 58740 60995 66540 73194 88110 98701 99810 109791 121990 146388 176220 182985 197402 199620 219582 243980 296103 365970 394804 439164 493505 548955 592206 731940 888309 987010 1085711 1097910 1184412 1480515 1776618 1974020 2171422 2195820 2961030 3257133 3553236 4342844 4441545 5428555 5922060 6514266 8883090 9771399 10857110 13028532 16285665 17766180 19542798 21714220 32571330 39085596 48856995 65142660 97713990 195427980