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1057248 = 25323671
BaseRepresentation
bin100000010000111100000
31222201021100
410002013200
5232312443
634354400
711662233
oct4020740
91881240
101057248
11662365
1242ba00
132b02ba
141d741a
1515d3d3
hex1021e0

1057248 has 36 divisors (see below), whose sum is σ = 3007368. Its totient is φ = 352320.

The previous prime is 1057237. The next prime is 1057249. The reversal of 1057248 is 8427501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10572482 = 2235546667008, which contains 22 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1548 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (83538).

21057248 is an apocalyptic number.

1057248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1057248 is an abundant number, since it is smaller than the sum of its proper divisors (1950120).

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

1057248 is a wasteful number, since it uses less digits than its factorization.

1057248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1057248 is about 1028.2256561670. The cubic root of 1057248 is about 101.8729675784.

The spelling of 1057248 in words is "one million, fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3671 7342 11013 14684 22026 29368 33039 44052 58736 66078 88104 117472 132156 176208 264312 352416 528624 1057248