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106248 = 23319233
BaseRepresentation
bin11001111100001000
312101202010
4121330020
511344443
62135520
7621522
oct317410
9171663
10106248
117290a
12515a0
133948c
142aa12
1521733
hex19f08

106248 has 32 divisors (see below), whose sum is σ = 280800. Its totient is φ = 33408.

The previous prime is 106243. The next prime is 106261. The reversal of 106248 is 842601.

It is a super-2 number, since 2×1062482 = 22577275008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106243) 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, 340 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2106248 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 106248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140400).

106248 is an abundant number, since it is smaller than the sum of its proper divisors (174552).

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

106248 is a wasteful number, since it uses less digits than its factorization.

106248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 106248 is about 325.9570523857. The cubic root of 106248 is about 47.3631146752.

Adding to 106248 its reverse (842601), we get a palindrome (948849).

The spelling of 106248 in words is "one hundred six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 233 456 466 699 932 1398 1864 2796 4427 5592 8854 13281 17708 26562 35416 53124 106248