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102592 = 267229
BaseRepresentation
bin11001000011000000
312012201201
4121003000
511240332
62110544
7605050
oct310300
9165651
10102592
1170096
124b454
1337909
1429560
15205e7
hex190c0

102592 has 28 divisors (see below), whose sum is σ = 233680. Its totient is φ = 43776.

The previous prime is 102587. The next prime is 102593. The reversal of 102592 is 295201.

It is a tau number, because it is divible by the number of its divisors (28).

It is not an unprimeable number, because it can be changed into a prime (102593) by changing a digit.

102592 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 334 + ... + 562.

2102592 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 102592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116840).

102592 is an abundant number, since it is smaller than the sum of its proper divisors (131088).

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

102592 is an equidigital number, since it uses as much as digits as its factorization.

102592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 102592 is about 320.2998595067. The cubic root of 102592 is about 46.8135057327.

Adding to 102592 its reverse (295201), we get a palindrome (397793).

The spelling of 102592 in words is "one hundred two thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 229 448 458 916 1603 1832 3206 3664 6412 7328 12824 14656 25648 51296 102592