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104192 = 281137
BaseRepresentation
bin11001011100000000
312021220222
4121130000
511313232
62122212
7612524
oct313400
9167828
10104192
1171310
1250368
133856a
1429d84
1520d12
hex19700

104192 has 36 divisors (see below), whose sum is σ = 233016. Its totient is φ = 46080.

The previous prime is 104183. The next prime is 104207. The reversal of 104192 is 291401.

It is a happy number.

104192 is nontrivially palindromic in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 104192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2798 + ... + 2834.

2104192 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 104192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116508).

104192 is an abundant number, since it is smaller than the sum of its proper divisors (128824).

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

104192 is an equidigital number, since it uses as much as digits as its factorization.

104192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 104192 is about 322.7878560293. The cubic root of 104192 is about 47.0556154676.

Adding to 104192 its reverse (291401), we get a palindrome (395593).

The spelling of 104192 in words is "one hundred four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 592 704 814 1184 1408 1628 2368 2816 3256 4736 6512 9472 13024 26048 52096 104192