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1057084 = 227191987
BaseRepresentation
bin100000010000100111100
31222201001021
410002010330
5232311314
634353524
711661610
oct4020474
91881037
101057084
11662226
1242b8a4
132b01c2
141d7340
1515d324
hex10213c

1057084 has 24 divisors (see below), whose sum is σ = 2226560. Its totient is φ = 428976.

The previous prime is 1057051. The next prime is 1057087. The reversal of 1057084 is 4807501.

It is a super-2 number, since 2×10570842 = 2234853166112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462 + ... + 1525.

21057084 is an apocalyptic number.

1057084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1057084 is an abundant number, since it is smaller than the sum of its proper divisors (1169476).

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

1057084 is a wasteful number, since it uses less digits than its factorization.

1057084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 1057084 is about 1028.1459040428. The cubic root of 1057084 is about 101.8676998043.

The spelling of 1057084 in words is "one million, fifty-seven thousand, eighty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 1987 3974 7948 13909 27818 37753 55636 75506 151012 264271 528542 1057084