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18919440 = 2433519461
BaseRepresentation
bin100100000101…
…1000000010000
31022121012121000
41020023000100
514320410230
61513302000
7316545501
oct110130020
938535530
1018919440
11a752501
126404900
133bc5647
142726ba8
1519dab60
hex120b010

18919440 has 160 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 4769280.

The previous prime is 18919403. The next prime is 18919451. The reversal of 18919440 is 4491981.

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 = 18919395 and 18919404.

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, 40810 + ... + 41270.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 218919440 is an apocalyptic number.

18919440 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 18919440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

18919440 is an abundant number, since it is smaller than the sum of its proper divisors (49826160).

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

18919440 is a wasteful number, since it uses less digits than its factorization.

18919440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 490 counting only the distinct ones).

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

The square root of 18919440 is about 4349.6482616414. The cubic root of 18919440 is about 266.4624964972.

The spelling of 18919440 in words is "eighteen million, nine hundred nineteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 461 513 540 570 684 720 760 855 912 922 1026 1080 1140 1368 1383 1520 1710 1844 2052 2160 2280 2305 2565 2736 2766 3420 3688 4104 4149 4560 4610 5130 5532 6840 6915 7376 8208 8298 8759 9220 10260 11064 12447 13680 13830 16596 17518 18440 20520 20745 22128 24894 26277 27660 33192 35036 36880 41040 41490 43795 49788 52554 55320 62235 66384 70072 78831 82980 87590 99576 105108 110640 124470 131385 140144 157662 165960 175180 199152 210216 236493 248940 262770 315324 331920 350360 394155 420432 472986 497880 525540 630648 700720 788310 945972 995760 1051080 1182465 1261296 1576620 1891944 2102160 2364930 3153240 3783888 4729860 6306480 9459720 18919440