Search a number
-
+
18260928 = 263272647
BaseRepresentation
bin100010110101…
…0001111000000
31021100202021200
41011222033000
514133322203
61451221200
7311133600
oct105521700
937322250
1018260928
11a342784
126147800
133a249aa
1425d4c00
15190a9a3
hex116a3c0

18260928 has 126 divisors (see below), whose sum is σ = 60981336. Its totient is φ = 5209344.

The previous prime is 18260927. The next prime is 18260933. The reversal of 18260928 is 82906281.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×182609282 = 666922982842368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 18260892 and 18260901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18260927) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27901 + ... + 28547.

Almost surely, 218260928 is an apocalyptic number.

18260928 is a gapful number since it is divisible by the number (18) 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 18260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30490668).

18260928 is an abundant number, since it is smaller than the sum of its proper divisors (42720408).

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

18260928 is a wasteful number, since it uses less digits than its factorization.

18260928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18260928 is about 4273.2807069042. The cubic root of 18260928 is about 263.3344115037.

The spelling of 18260928 in words is "eighteen million, two hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 647 672 784 882 1008 1176 1294 1344 1568 1764 1941 2016 2352 2588 3136 3528 3882 4032 4529 4704 5176 5823 7056 7764 9058 9408 10352 11646 13587 14112 15528 18116 20704 23292 27174 28224 31056 31703 36232 40761 41408 46584 54348 62112 63406 72464 81522 93168 95109 108696 124224 126812 144928 163044 186336 190218 217392 253624 285327 289856 326088 372672 380436 434784 507248 570654 652176 760872 869568 1014496 1141308 1304352 1521744 2028992 2282616 2608704 3043488 4565232 6086976 9130464 18260928