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18145296 = 243513359
BaseRepresentation
bin100010100111…
…0000000010000
31021010212200000
41011032000100
514121122141
61444530000
7310142511
oct105160020
937125600
1018145296
11a273914
1260b0900
1339b4180
1425a4a08
1518d65b6
hex114e010

18145296 has 120 divisors (see below), whose sum is σ = 56871360. Its totient is φ = 5567616.

The previous prime is 18145289. The next prime is 18145297. The reversal of 18145296 is 69254181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 18145296.

It is not an unprimeable number, because it can be changed into a prime (18145297) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 50365 + ... + 50723.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 218145296 is an apocalyptic number.

18145296 is a gapful number since it is divisible by the number (16) 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 18145296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

18145296 is an abundant number, since it is smaller than the sum of its proper divisors (38726064).

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

18145296 is a wasteful number, since it uses less digits than its factorization.

18145296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 18145296 is about 4259.7295688811. The cubic root of 18145296 is about 262.7774047002. Note that the first 3 decimals are identical.

The spelling of 18145296 in words is "eighteen million, one hundred forty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 359 432 468 486 624 648 702 718 936 972 1053 1077 1296 1404 1436 1872 1944 2106 2154 2808 2872 3159 3231 3888 4212 4308 4667 5616 5744 6318 6462 8424 8616 9334 9693 12636 12924 14001 16848 17232 18668 19386 25272 25848 28002 29079 37336 38772 42003 50544 51696 56004 58158 74672 77544 84006 87237 112008 116316 126009 155088 168012 174474 224016 232632 252018 336024 348948 378027 465264 504036 672048 697896 756054 1008072 1134081 1395792 1512108 2016144 2268162 3024216 4536324 6048432 9072648 18145296