Search a number
-
+
18636904 = 23112131481
BaseRepresentation
bin100011100011…
…0000001101000
31022001212000201
41013012001220
514232340104
61503241544
7314260666
oct107060150
938055021
1018636904
11a57a200
1262a92b4
133b26b70
142691c36
1519820a4
hex11c6068

18636904 has 48 divisors (see below), whose sum is σ = 41392260. Its totient is φ = 7814400.

The previous prime is 18636899. The next prime is 18636907. The reversal of 18636904 is 40963681.

It can be written as a sum of positive squares in 2 ways, for example, as 17656804 + 980100 = 4202^2 + 990^2 .

It is not an unprimeable number, because it can be changed into a prime (18636907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11844 + ... + 13324.

Almost surely, 218636904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18636904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20696130).

18636904 is an abundant number, since it is smaller than the sum of its proper divisors (22755356).

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

18636904 is a wasteful number, since it uses less digits than its factorization.

18636904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 18636904 is about 4317.0480655188. The cubic root of 18636904 is about 265.1294205854.

The spelling of 18636904 in words is "eighteen million, six hundred thirty-six thousand, nine hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1481 1573 2962 3146 5924 6292 11848 12584 16291 19253 32582 38506 65164 77012 130328 154024 179201 211783 358402 423566 716804 847132 1433608 1694264 2329613 4659226 9318452 18636904