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18914940 = 223251141233
BaseRepresentation
bin100100000100…
…1111001111100
31022120222102100
41020021321330
514320234230
61513225100
7316526412
oct110117174
938528370
1018914940
11a74a090
126402190
133bc3595
1427252b2
1519d9660
hex1209e7c

18914940 has 144 divisors (see below), whose sum is σ = 64393056. Its totient is φ = 4454400.

The previous prime is 18914933. The next prime is 18914963. The reversal of 18914940 is 4941981.

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

It is a junction number, because it is equal to n+sod(n) for n = 18914895 and 18914904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81064 + ... + 81296.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 218914940 is an apocalyptic number.

18914940 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 18914940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32196528).

18914940 is an abundant number, since it is smaller than the sum of its proper divisors (45478116).

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

18914940 is a wasteful number, since it uses less digits than its factorization.

18914940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 295 counting only the distinct ones).

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

The square root of 18914940 is about 4349.1309476722. The cubic root of 18914940 is about 266.4413687345.

It can be divided in two parts, 189 and 14940, that added together give a square (15129 = 1232).

The spelling of 18914940 in words is "eighteen million, nine hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 233 246 330 369 396 410 451 466 492 495 615 660 699 738 820 902 932 990 1165 1230 1353 1398 1476 1804 1845 1980 2097 2255 2330 2460 2563 2706 2796 3495 3690 4059 4194 4510 4660 5126 5412 6765 6990 7380 7689 8118 8388 9020 9553 10252 10485 12815 13530 13980 15378 16236 19106 20295 20970 23067 25630 27060 28659 30756 38212 38445 40590 41940 46134 47765 51260 57318 76890 81180 85977 92268 95530 105083 114636 115335 143295 153780 171954 191060 210166 230670 286590 315249 343908 420332 429885 461340 525415 573180 630498 859770 945747 1050830 1260996 1576245 1719540 1891494 2101660 3152490 3782988 4728735 6304980 9457470 18914940