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18141312 = 273717397
BaseRepresentation
bin100010100110…
…1000010000000
31021010200012110
41011031002000
514121010222
61444455320
7310125060
oct105150200
937120173
1018141312
11a270922
1260aa540
1339b2407
1425a33a0
1518d530c
hex114d080

18141312 has 128 divisors (see below), whose sum is σ = 58458240. Its totient is φ = 4866048.

The previous prime is 18141283. The next prime is 18141349. The reversal of 18141312 is 21314181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45498 + ... + 45894.

It is an arithmetic number, because the mean of its divisors is an integer number (456705).

Almost surely, 218141312 is an apocalyptic number.

18141312 is a gapful number since it is divisible by the number (12) 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 18141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29229120).

18141312 is an abundant number, since it is smaller than the sum of its proper divisors (40316928).

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

18141312 is a wasteful number, since it uses less digits than its factorization.

18141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 18141312 is about 4259.2619078897. The cubic root of 18141312 is about 262.7581713994.

Adding to 18141312 its reverse (21314181), we get a palindrome (39455493).

The spelling of 18141312 in words is "eighteen million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 397 408 448 476 544 672 714 794 816 896 952 1088 1191 1344 1428 1588 1632 1904 2176 2382 2688 2779 2856 3176 3264 3808 4764 5558 5712 6352 6528 6749 7616 8337 9528 11116 11424 12704 13498 15232 16674 19056 20247 22232 22848 25408 26996 33348 38112 40494 44464 45696 47243 50816 53992 66696 76224 80988 88928 94486 107984 133392 141729 152448 161976 177856 188972 215968 266784 283458 323952 355712 377944 431936 533568 566916 647904 755888 863872 1067136 1133832 1295808 1511776 2267664 2591616 3023552 4535328 6047104 9070656 18141312