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108192 = 2537223
BaseRepresentation
bin11010011010100000
312111102010
4122122200
511430232
62152520
7630300
oct323240
9174363
10108192
1174317
1252740
133a326
142b600
15220cc
hex1a6a0

108192 has 72 divisors (see below), whose sum is σ = 344736. Its totient is φ = 29568.

The previous prime is 108191. The next prime is 108193. The reversal of 108192 is 291801.

It is an interprime number because it is at equal distance from previous prime (108191) and next prime (108193).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4693 + ... + 4715.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2108192 is an apocalyptic number.

108192 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 108192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368).

108192 is an abundant number, since it is smaller than the sum of its proper divisors (236544).

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

108192 is a wasteful number, since it uses less digits than its factorization.

108192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 108192 is about 328.9255234852. The cubic root of 108192 is about 47.6502353155.

Adding to 108192 its reverse (291801), we get a palindrome (399993).

It can be divided in two parts, 108 and 192, that multiplied together give a 4-th power (20736 = 124).

The spelling of 108192 in words is "one hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 368 392 483 552 588 644 672 736 784 966 1104 1127 1176 1288 1568 1932 2208 2254 2352 2576 3381 3864 4508 4704 5152 6762 7728 9016 13524 15456 18032 27048 36064 54096 108192