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18812040 = 23351331389
BaseRepresentation
bin100011111000…
…0110010001000
31022101202021020
41013300302020
514303441130
61511112440
7315620412
oct107606210
938352236
1018812040
11a689845
126372720
133b887b0
1426d99b2
1519b8e10
hex11f0c88

18812040 has 128 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 4469760.

The previous prime is 18811997. The next prime is 18812051. The reversal of 18812040 is 4021881.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 18812040.

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, 48166 + ... + 48554.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 218812040 is an apocalyptic number.

18812040 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 18812040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

18812040 is an abundant number, since it is smaller than the sum of its proper divisors (44087160).

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

18812040 is a wasteful number, since it uses less digits than its factorization.

18812040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 18812040 is about 4337.2848649818. The cubic root of 18812040 is about 265.9573301070.

The spelling of 18812040 in words is "eighteen million, eight hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 389 390 403 465 520 620 744 778 780 806 930 1167 1209 1240 1556 1560 1612 1860 1945 2015 2334 2418 3112 3224 3720 3890 4030 4668 4836 5057 5835 6045 7780 8060 9336 9672 10114 11670 12059 12090 15171 15560 16120 20228 23340 24118 24180 25285 30342 36177 40456 46680 48236 48360 50570 60295 60684 72354 75855 96472 101140 120590 121368 144708 151710 156767 180885 202280 241180 289416 303420 313534 361770 470301 482360 606840 627068 723540 783835 940602 1254136 1447080 1567670 1881204 2351505 3135340 3762408 4703010 6270680 9406020 18812040