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18128040 = 2335723083
BaseRepresentation
bin100010100100…
…1110010101000
31021002222222220
41011021302220
514120044130
61444314040
7310041300
oct105116250
937088886
1018128040
11a261957
1260a2920
1339a9368
14259c600
1518d1410
hex1149ca8

18128040 has 96 divisors (see below), whose sum is σ = 63283680. Its totient is φ = 4142208.

The previous prime is 18128023. The next prime is 18128053. The reversal of 18128040 is 4082181.

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 18128040.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4339 + ... + 7421.

It is an arithmetic number, because the mean of its divisors is an integer number (659205).

Almost surely, 218128040 is an apocalyptic number.

18128040 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 18128040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31641840).

18128040 is an abundant number, since it is smaller than the sum of its proper divisors (45155640).

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

18128040 is a wasteful number, since it uses less digits than its factorization.

18128040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3100 counting only the distinct ones).

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

The square root of 18128040 is about 4257.7036064057. The cubic root of 18128040 is about 262.6940786953.

The spelling of 18128040 in words is "eighteen million, one hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 3083 5880 6166 9249 12332 15415 18498 21581 24664 30830 36996 43162 46245 61660 64743 73992 86324 92490 107905 123320 129486 151067 172648 184980 215810 258972 302134 323715 369960 431620 453201 517944 604268 647430 755335 863240 906402 1208536 1294860 1510670 1812804 2266005 2589720 3021340 3625608 4532010 6042680 9064020 18128040