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18800940 = 22354759113
BaseRepresentation
bin100011110111…
…0000100101100
31022101012001010
41013232010230
514303112230
61510545220
7315543144
oct107560454
938335033
1018800940
11a681474
126368210
133b83722
1426d5924
1519b59b0
hex11ee12c

18800940 has 96 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 4781056.

The previous prime is 18800927. The next prime is 18800981. The reversal of 18800940 is 4900881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18800898 and 18800907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166324 + ... + 166436.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 218800940 is an apocalyptic number.

18800940 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 18800940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

18800940 is an abundant number, since it is smaller than the sum of its proper divisors (36356820).

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

18800940 is a wasteful number, since it uses less digits than its factorization.

18800940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 18800940 is about 4336.0050737978. The cubic root of 18800940 is about 265.9050106494.

The spelling of 18800940 in words is "eighteen million, eight hundred thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 59 60 94 113 118 141 177 188 226 235 236 282 295 339 354 452 470 564 565 590 678 705 708 885 940 1130 1180 1356 1410 1695 1770 2260 2773 2820 3390 3540 5311 5546 6667 6780 8319 10622 11092 13334 13865 15933 16638 20001 21244 26555 26668 27730 31866 33276 33335 40002 41595 53110 55460 63732 66670 79665 80004 83190 100005 106220 133340 159330 166380 200010 313349 318660 400020 626698 940047 1253396 1566745 1880094 3133490 3760188 4700235 6266980 9400470 18800940