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2093416 = 231320129
BaseRepresentation
bin111111111000101101000
310221100121221
413333011220
51013442131
6112511424
723536153
oct7770550
93840557
102093416
1111aa8a6
1284b574
13583b10
143c6c9a
152b5411
hex1ff168

2093416 has 16 divisors (see below), whose sum is σ = 4227300. Its totient is φ = 966144.

The previous prime is 2093411. The next prime is 2093417. The reversal of 2093416 is 6143902.

It can be written as a sum of positive squares in 2 ways, for example, as 2090916 + 2500 = 1446^2 + 50^2 .

It is not an unprimeable number, because it can be changed into a prime (2093411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9961 + ... + 10168.

22093416 is an apocalyptic number.

2093416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2093416 is an abundant number, since it is smaller than the sum of its proper divisors (2133884).

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

2093416 is a wasteful number, since it uses less digits than its factorization.

2093416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20148 (or 20144 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 2093416 is about 1446.8641954240. The cubic root of 2093416 is about 127.9239457049.

The spelling of 2093416 in words is "two million, ninety-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 20129 40258 80516 161032 261677 523354 1046708 2093416