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18923112 = 23331323293
BaseRepresentation
bin100100000101…
…1111001101000
31022121101122000
41020023321220
514321014422
61513331000
7316562265
oct110137150
938541560
1018923112
11a75523a
126406a60
133bc7210
14272826c
1519dbcac
hex120be68

18923112 has 128 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 5550336.

The previous prime is 18923039. The next prime is 18923123. The reversal of 18923112 is 21132981.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64438 + ... + 64730.

It is an arithmetic number, because the mean of its divisors is an integer number (463050).

Almost surely, 218923112 is an apocalyptic number.

18923112 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 18923112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).

18923112 is an abundant number, since it is smaller than the sum of its proper divisors (40347288).

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

18923112 is a wasteful number, since it uses less digits than its factorization.

18923112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 18923112 is about 4350.0703442588. The cubic root of 18923112 is about 266.4797342694.

The spelling of 18923112 in words is "eighteen million, nine hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 69 72 78 92 104 108 117 138 156 184 207 216 234 276 293 299 312 351 414 468 552 586 598 621 702 828 879 897 936 1172 1196 1242 1404 1656 1758 1794 2344 2392 2484 2637 2691 2808 3516 3588 3809 4968 5274 5382 6739 7032 7176 7618 7911 8073 10548 10764 11427 13478 15236 15822 16146 20217 21096 21528 22854 26956 30472 31644 32292 34281 40434 45708 53912 60651 63288 64584 68562 80868 87607 91416 102843 121302 137124 161736 175214 181953 205686 242604 262821 274248 350428 363906 411372 485208 525642 700856 727812 788463 822744 1051284 1455624 1576926 2102568 2365389 3153852 4730778 6307704 9461556 18923112