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2097168 = 24343691
BaseRepresentation
bin1000000000000000010000
310221112202220
420000000100
51014102133
6112541040
723553123
oct10000020
93845686
102097168
1112026a7
12851780
13585738
143c83ba
152b65b3
hex200010

2097168 has 20 divisors (see below), whose sum is σ = 5417808. Its totient is φ = 699040.

The previous prime is 2097143. The next prime is 2097169. The reversal of 2097168 is 8617902.

It is a super-2 number, since 2×20971682 = 8796227240448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2097169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21798 + ... + 21893.

22097168 is an apocalyptic number.

It is an amenable number.

2097168 is an abundant number, since it is smaller than the sum of its proper divisors (3320640).

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

2097168 is a wasteful number, since it uses less digits than its factorization.

2097168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43702 (or 43696 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2097168 is about 1448.1602121312. The cubic root of 2097168 is about 128.0003255200. Note that the first 3 decimals are identical.

The spelling of 2097168 in words is "two million, ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 43691 87382 131073 174764 262146 349528 524292 699056 1048584 2097168