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107892 = 223637
BaseRepresentation
bin11010010101110100
312111000000
4122111310
511423032
62151300
7626361
oct322564
9174000
10107892
1174074
1252530
133a155
142b468
1521e7c
hex1a574

107892 has 42 divisors (see below), whose sum is σ = 290738. Its totient is φ = 34992.

The previous prime is 107881. The next prime is 107897. The reversal of 107892 is 298701.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 2916 = 324^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107897) by changing a digit.

107892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2898 + ... + 2934.

2107892 is an apocalyptic number.

107892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145369).

107892 is an abundant number, since it is smaller than the sum of its proper divisors (182846).

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

107892 is an equidigital number, since it uses as much as digits as its factorization.

107892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 107892 is about 328.4691766361. The cubic root of 107892 is about 47.6061522542.

Adding to 107892 its product of nonzero digits (1008), we get a square (108900 = 3302).

It can be divided in two parts, 107 and 892, that added together give a palindrome (999).

The spelling of 107892 in words is "one hundred seven thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 729 972 999 1332 1458 1998 2916 2997 3996 5994 8991 11988 17982 26973 35964 53946 107892