193536 has 88 divisors (see below), whose sum is σ = 655040. Its totient is φ = 55296.

The previous prime is 193513. The next prime is 193541. The reversal of 193536 is 635391.

It can be divided in two parts, 193 and 536, that added together give a 6-th power (729 = 3^{6}).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

193536 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 7 ways as a sum of consecutive naturals, for example, 27645 + ... + 27651.

193536 is a Friedman number, since it can be written as (9+5)*(6*(3+1))^3, using all its digits and the basic arithmetic operations.

2^{193536} is an apocalyptic number.

193536 is a gapful number since it is divisible by the number (16) 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 193536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327520).

193536 is an abundant number, since it is smaller than the sum of its proper divisors (461504).

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

193536 is an equidigital number, since it uses as much as digits as its factorization.

193536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 12 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 193536 is about 439.9272667158. The cubic root of 193536 is about 57.8434143402.

The spelling of 193536 in words is "one hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1024 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3072 3456 3584 4032 4608 5376 6048 6912 7168 8064 9216 10752 12096 13824 16128 21504 24192 27648 32256 48384 64512 96768 193536

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.071 sec. • engine limits •