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18981312 = 263729487
BaseRepresentation
bin100100001101…
…0000111000000
31022201100110120
41020122013000
514324400222
61514500240
7320224050
oct110320700
938640416
1018981312
11a794a39
126434680
133c1785c
142741560
1519ee15c
hex121a1c0

18981312 has 112 divisors (see below), whose sum is σ = 59496960. Its totient is φ = 5225472.

The previous prime is 18981307. The next prime is 18981329. The reversal of 18981312 is 21318981.

It is a tau number, because it is divible by the number of its divisors (112).

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, 38733 + ... + 39219.

Almost surely, 218981312 is an apocalyptic number.

18981312 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 18981312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29748480).

18981312 is an abundant number, since it is smaller than the sum of its proper divisors (40515648).

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

18981312 is a wasteful number, since it uses less digits than its factorization.

18981312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 528 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 18981312 is about 4356.7547555491. The cubic root of 18981312 is about 266.7526500505.

The spelling of 18981312 in words is "eighteen million, nine hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 487 609 672 696 812 928 974 1218 1344 1392 1461 1624 1856 1948 2436 2784 2922 3248 3409 3896 4872 5568 5844 6496 6818 7792 9744 10227 11688 12992 13636 14123 15584 19488 20454 23376 27272 28246 31168 38976 40908 42369 46752 54544 56492 81816 84738 93504 98861 109088 112984 163632 169476 197722 218176 225968 296583 327264 338952 395444 451936 593166 654528 677904 790888 903872 1186332 1355808 1581776 2372664 2711616 3163552 4745328 6327104 9490656 18981312