Search a number
-
+
18627104 = 251797353
BaseRepresentation
bin100011100001…
…1101000100000
31022001100120202
41013003220200
514232031404
61503124332
7314220266
oct107035040
938040522
1018627104
11a572901
1262a36a8
133b22572
14268c436
15197e21e
hex11c3a20

18627104 has 48 divisors (see below), whose sum is σ = 39340728. Its totient is φ = 8650752.

The previous prime is 18627101. The next prime is 18627107. The reversal of 18627104 is 40172681.

It is an interprime number because it is at equal distance from previous prime (18627101) and next prime (18627107).

It can be written as a sum of positive squares in 4 ways, for example, as 16810000 + 1817104 = 4100^2 + 1348^2 .

It is not an unprimeable number, because it can be changed into a prime (18627101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52592 + ... + 52944.

Almost surely, 218627104 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 18627104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19670364).

18627104 is an abundant number, since it is smaller than the sum of its proper divisors (20713624).

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

18627104 is a wasteful number, since it uses less digits than its factorization.

18627104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 18627104 is about 4315.9128814192. The cubic root of 18627104 is about 265.0829406930.

Adding to 18627104 its reverse (40172681), we get a palindrome (58799785).

The spelling of 18627104 in words is "eighteen million, six hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 97 136 194 272 353 388 544 706 776 1412 1552 1649 2824 3104 3298 5648 6001 6596 11296 12002 13192 24004 26384 34241 48008 52768 68482 96016 136964 192032 273928 547856 582097 1095712 1164194 2328388 4656776 9313552 18627104