Search a number
-
+
102804138 = 23241139301
BaseRepresentation
bin1100010000010…
…10101010101010
321011102222202200
412020022222222
5202304213023
614111241030
72355551343
oct610125252
9234388680
10102804138
11530372a8
122a519176
13183b5c68
14d9210ca
15905a743
hex620aaaa

102804138 has 24 divisors (see below), whose sum is σ = 228176676. Its totient is φ = 33432000.

The previous prime is 102804133. The next prime is 102804161. The reversal of 102804138 is 831408201.

It can be written as a sum of positive squares in 2 ways, for example, as 102758769 + 45369 = 10137^2 + 213^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102804133) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 68913 + ... + 70388.

Almost surely, 2102804138 is an apocalyptic number.

102804138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102804138 is an abundant number, since it is smaller than the sum of its proper divisors (125372538).

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

102804138 is a wasteful number, since it uses less digits than its factorization.

102804138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139350 (or 139347 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 102804138 is about 10139.2375452990. The cubic root of 102804138 is about 468.4575024277.

The spelling of 102804138 in words is "one hundred two million, eight hundred four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 139301 278602 417903 835806 1253709 2507418 5711341 11422682 17134023 34268046 51402069 102804138