Search a number
-
+
102141738 = 2326139257
BaseRepresentation
bin1100001011010…
…00111100101010
321010012100010100
412011220330222
5202122013423
614045130230
72350122216
oct605507452
9233170110
10102141738
1152724666
122a259976
13182135ca
14d7cb946
158e79343
hex6168f2a

102141738 has 24 divisors (see below), whose sum is σ = 221692068. Its totient is φ = 33988032.

The previous prime is 102141733. The next prime is 102141751. The reversal of 102141738 is 837141201.

It can be written as a sum of positive squares in 2 ways, for example, as 66536649 + 35605089 = 8157^2 + 5967^2 .

It is not an unprimeable number, because it can be changed into a prime (102141731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6406 + ... + 15662.

Almost surely, 2102141738 is an apocalyptic number.

102141738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102141738 is an abundant number, since it is smaller than the sum of its proper divisors (119550330).

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

102141738 is a wasteful number, since it uses less digits than its factorization.

102141738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9878 (or 9875 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 102141738 is about 10106.5195789649. The cubic root of 102141738 is about 467.4491931022.

Adding to 102141738 its reverse (837141201), we get a palindrome (939282939).

The spelling of 102141738 in words is "one hundred two million, one hundred forty-one thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 613 1226 1839 3678 5517 9257 11034 18514 27771 55542 83313 166626 5674541 11349082 17023623 34047246 51070869 102141738