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18131040 = 253451399
BaseRepresentation
bin100010100101…
…0100001100000
31021010011010000
41011022201200
514120143130
61444340000
7310053114
oct105124140
937104100
1018131040
11a264134
1260a4600
1339aa835
14259d744
1518d2260
hex114a860

18131040 has 120 divisors (see below), whose sum is σ = 64033200. Its totient is φ = 4831488.

The previous prime is 18131039. The next prime is 18131051. The reversal of 18131040 is 4013181.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×181310402 = 657469222963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12261 + ... + 13659.

It is an arithmetic number, because the mean of its divisors is an integer number (533610).

Almost surely, 218131040 is an apocalyptic number.

18131040 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 18131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32016600).

18131040 is an abundant number, since it is smaller than the sum of its proper divisors (45902160).

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

18131040 is a wasteful number, since it uses less digits than its factorization.

18131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 18131040 is about 4258.0558944194. The cubic root of 18131040 is about 262.7085689319.

The spelling of 18131040 in words is "eighteen million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1399 1440 1620 2160 2592 2798 3240 4197 4320 5596 6480 6995 8394 11192 12591 12960 13990 16788 20985 22384 25182 27980 33576 37773 41970 44768 50364 55960 62955 67152 75546 83940 100728 111920 113319 125910 134304 151092 167880 188865 201456 223840 226638 251820 302184 335760 377730 402912 453276 503640 566595 604368 671520 755460 906552 1007280 1133190 1208736 1510920 1813104 2014560 2266380 3021840 3626208 4532760 6043680 9065520 18131040