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1057496 = 231161197
BaseRepresentation
bin100000010001011011000
31222201121112
410002023120
5232314441
634355452
711663036
oct4021330
91881545
101057496
11662570
1242bb88
132b044b
141d7556
1515d4eb
hex1022d8

1057496 has 32 divisors (see below), whose sum is σ = 2209680. Its totient is φ = 470400.

The previous prime is 1057493. The next prime is 1057531. The reversal of 1057496 is 6947501.

It is a happy number.

It is a super-2 number, since 2×10574962 = 2236595580032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057493) 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, 5270 + ... + 5466.

21057496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104840).

1057496 is an abundant number, since it is smaller than the sum of its proper divisors (1152184).

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

1057496 is a wasteful number, since it uses less digits than its factorization.

1057496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1057496 is about 1028.3462451918. The cubic root of 1057496 is about 101.8809324459.

The spelling of 1057496 in words is "one million, fifty-seven thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 22 44 61 88 122 197 244 394 488 671 788 1342 1576 2167 2684 4334 5368 8668 12017 17336 24034 48068 96136 132187 264374 528748 1057496