Search a number
-
+
102608 = 2411253
BaseRepresentation
bin11001000011010000
312012202022
4121003100
511240413
62111012
7605102
oct310320
9165668
10102608
1170100
124b468
133791c
1429572
1520608
hex190d0

102608 has 30 divisors (see below), whose sum is σ = 222642. Its totient is φ = 45760.

The previous prime is 102607. The next prime is 102611. The reversal of 102608 is 806201.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 7744 = 308^2 + 88^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1910 + ... + 1962.

2102608 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 102608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111321).

102608 is an abundant number, since it is smaller than the sum of its proper divisors (120034).

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

102608 is a wasteful number, since it uses less digits than its factorization.

102608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 102608 is about 320.3248351283. The cubic root of 102608 is about 46.8159392465.

Adding to 102608 its reverse (806201), we get a palindrome (908809).

The spelling of 102608 in words is "one hundred two thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 121 176 212 242 424 484 583 848 968 1166 1936 2332 4664 6413 9328 12826 25652 51304 102608