Search a number
-
+
102410 = 25721119
BaseRepresentation
bin11001000000001010
312012110222
4121000022
511234120
62110042
7604400
oct310012
9165428
10102410
116aa40
124b322
13377c9
1429470
1520525
hex1900a

102410 has 48 divisors (see below), whose sum is σ = 246240. Its totient is φ = 30240.

The previous prime is 102409. The next prime is 102433. The reversal of 102410 is 14201.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5381 + ... + 5399.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2102410 is an apocalyptic number.

102410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102410 is an abundant number, since it is smaller than the sum of its proper divisors (143830).

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

102410 is a wasteful number, since it uses less digits than its factorization.

102410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 102410 is about 320.0156246185. The cubic root of 102410 is about 46.7858066877.

Adding to 102410 its reverse (14201), we get a palindrome (116611).

Subtracting from 102410 its reverse (14201), we obtain a square (88209 = 2972).

It can be divided in two parts, 102 and 410, that added together give a 9-th power (512 = 29).

The spelling of 102410 in words is "one hundred two thousand, four hundred ten", and thus it is an iban number.

Divisors: 1 2 5 7 10 11 14 19 22 35 38 49 55 70 77 95 98 110 133 154 190 209 245 266 385 418 490 539 665 770 931 1045 1078 1330 1463 1862 2090 2695 2926 4655 5390 7315 9310 10241 14630 20482 51205 102410