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19861380 = 223257111433
BaseRepresentation
bin100101111000…
…0111110000100
31101101001200200
41023300332010
520041031010
61545410500
7330550620
oct113607604
941331620
1019861380
1110236170
126799a30
1341652c6
1428d0180
151b24cc0
hex12f0f84

19861380 has 144 divisors (see below), whose sum is σ = 75164544. Its totient is φ = 4124160.

The previous prime is 19861363. The next prime is 19861381. The reversal of 19861380 is 8316891.

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

It is not an unprimeable number, because it can be changed into a prime (19861381) 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, 13144 + ... + 14576.

It is an arithmetic number, because the mean of its divisors is an integer number (521976).

Almost surely, 219861380 is an apocalyptic number.

19861380 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 19861380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37582272).

19861380 is an abundant number, since it is smaller than the sum of its proper divisors (55303164).

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

19861380 is a wasteful number, since it uses less digits than its factorization.

19861380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 19861380 is about 4456.6108198944. The cubic root of 19861380 is about 270.8131862462.

The spelling of 19861380 in words is "nineteen million, eight hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1433 1540 1980 2310 2772 2866 3465 4299 4620 5732 6930 7165 8598 10031 12897 13860 14330 15763 17196 20062 21495 25794 28660 30093 31526 40124 42990 47289 50155 51588 60186 63052 64485 78815 85980 90279 94578 100310 110341 120372 128970 141867 150465 157630 180558 189156 200620 220682 236445 257940 283734 300930 315260 331023 361116 441364 451395 472890 551705 567468 601860 662046 709335 902790 945780 993069 1103410 1324092 1418670 1655115 1805580 1986138 2206820 2837340 3310230 3972276 4965345 6620460 9930690 19861380