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18005312 = 2613171967
BaseRepresentation
bin100010010101…
…1110101000000
31020212202122102
41010223311000
514102132222
61441525532
7306020423
oct104536500
936782572
1018005312
11a188726
1260438a8
133965540
1425699ba
1518a9d92
hex112bd40

18005312 has 112 divisors (see below), whose sum is σ = 43525440. Its totient is φ = 7299072.

The previous prime is 18005291. The next prime is 18005333. The reversal of 18005312 is 21350081.

It is an interprime number because it is at equal distance from previous prime (18005291) and next prime (18005333).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268703 + ... + 268769.

It is an arithmetic number, because the mean of its divisors is an integer number (388620).

Almost surely, 218005312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762720).

18005312 is an abundant number, since it is smaller than the sum of its proper divisors (25520128).

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

18005312 is a wasteful number, since it uses less digits than its factorization.

18005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 18005312 is about 4243.2666661430. The cubic root of 18005312 is about 262.0999172154.

Adding to 18005312 its reverse (21350081), we get a palindrome (39355393).

The spelling of 18005312 in words is "eighteen million, five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 38 52 64 67 68 76 104 134 136 152 208 221 247 268 272 304 323 416 442 494 536 544 608 646 832 871 884 988 1072 1088 1139 1216 1273 1292 1742 1768 1976 2144 2278 2546 2584 3484 3536 3952 4199 4288 4556 5092 5168 6968 7072 7904 8398 9112 10184 10336 13936 14144 14807 15808 16549 16796 18224 20368 20672 21641 27872 29614 33098 33592 36448 40736 43282 55744 59228 66196 67184 72896 81472 86564 118456 132392 134368 173128 236912 264784 268736 281333 346256 473824 529568 562666 692512 947648 1059136 1125332 1385024 2250664 4501328 9002656 18005312