Search a number
-
+
18128154 = 231117107151
BaseRepresentation
bin100010100100…
…1110100011010
31021010000011010
41011021310122
514120100104
61444314350
7310041522
oct105116432
937100133
1018128154
11a261a50
1260a29b6
1339a9425
14259c682
1518d1489
hex1149d1a

18128154 has 64 divisors (see below), whose sum is σ = 42550272. Its totient is φ = 5088000.

The previous prime is 18128141. The next prime is 18128167. The reversal of 18128154 is 45182181.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18128141) and next prime (18128167).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

18128154 is a modest number, since divided by 8154 gives 1812 as remainder.

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, 119979 + ... + 120129.

It is an arithmetic number, because the mean of its divisors is an integer number (664848).

Almost surely, 218128154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18128154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21275136).

18128154 is an abundant number, since it is smaller than the sum of its proper divisors (24422118).

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

18128154 is a wasteful number, since it uses less digits than its factorization.

18128154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291.

The product of its digits is 2560, while the sum is 30.

The square root of 18128154 is about 4257.7169938830. The cubic root of 18128154 is about 262.6946293535.

The spelling of 18128154 in words is "eighteen million, one hundred twenty-eight thousand, one hundred fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 107 151 187 214 302 321 374 453 561 642 906 1122 1177 1661 1819 2354 2567 3322 3531 3638 4983 5134 5457 7062 7701 9966 10914 15402 16157 20009 28237 32314 40018 48471 56474 60027 84711 96942 120054 169422 177727 274669 355454 533181 549338 824007 1066362 1648014 3021359 6042718 9064077 18128154