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1057416 = 23344059
BaseRepresentation
bin100000010001010001000
31222201111120
410002022020
5232314131
634355240
711662563
oct4021210
91881446
101057416
116624a8
1242bb20
132b03b9
141d74da
1515d496
hex102288

1057416 has 16 divisors (see below), whose sum is σ = 2643600. Its totient is φ = 352464.

The previous prime is 1057411. The next prime is 1057421. The reversal of 1057416 is 6147501.

It is an interprime number because it is at equal distance from previous prime (1057411) and next prime (1057421).

It is a super-2 number, since 2×10574162 = 2236257194112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 44059 = 1057416 / (1 + 0 + 5 + 7 + 4 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (1057411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22006 + ... + 22053.

It is an arithmetic number, because the mean of its divisors is an integer number (165225).

21057416 is an apocalyptic number.

It is an amenable number.

1057416 is an abundant number, since it is smaller than the sum of its proper divisors (1586184).

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

1057416 is a wasteful number, since it uses less digits than its factorization.

1057416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44068 (or 44064 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1057416 is about 1028.3073470515. The cubic root of 1057416 is about 101.8783632698.

The spelling of 1057416 in words is "one million, fifty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 44059 88118 132177 176236 264354 352472 528708 1057416