Search a number
-
+
2087168 = 2831263
BaseRepresentation
bin111111101100100000000
310221001001112
413331210000
51013242133
6112422452
723512016
oct7754400
93831045
102087168
1111a6136
12847a28
13581015
143c48b6
152b3648
hex1fd900

2087168 has 36 divisors (see below), whose sum is σ = 4316928. Its totient is φ = 1006080.

The previous prime is 2087167. The next prime is 2087179. The reversal of 2087168 is 8617802.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2087161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7805 + ... + 8067.

22087168 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 2087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158464).

2087168 is an abundant number, since it is smaller than the sum of its proper divisors (2229760).

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

2087168 is an equidigital number, since it uses as much as digits as its factorization.

2087168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 2087168 is about 1444.7034297737. The cubic root of 2087168 is about 127.7965518028.

The spelling of 2087168 in words is "two million, eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 263 496 526 992 1052 1984 2104 3968 4208 7936 8153 8416 16306 16832 32612 33664 65224 67328 130448 260896 521792 1043584 2087168