Search a number
-
+
2093696 = 27111487
BaseRepresentation
bin111111111001010000000
310221101000022
413333022000
51013444241
6112513012
723540033
oct7771200
93841008
102093696
111200030
1284b768
13583c97
143c701a
152b554b
hex1ff280

2093696 has 32 divisors (see below), whose sum is σ = 4553280. Its totient is φ = 951040.

The previous prime is 2093653. The next prime is 2093699. The reversal of 2093696 is 6963902.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2093699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 665 + ... + 2151.

It is an arithmetic number, because the mean of its divisors is an integer number (142290).

22093696 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 2093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276640).

2093696 is an abundant number, since it is smaller than the sum of its proper divisors (2459584).

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

2093696 is a wasteful number, since it uses less digits than its factorization.

2093696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 2093696 is about 1446.9609531705. The cubic root of 2093696 is about 127.9296488408.

The spelling of 2093696 in words is "two million, ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1487 2974 5948 11896 16357 23792 32714 47584 65428 95168 130856 190336 261712 523424 1046848 2093696