Search a number
-
+
1057664 = 278263
BaseRepresentation
bin100000010001110000000
31222201211202
410002032000
5232321124
634400332
711663366
oct4021600
91881752
101057664
11662703
124300a8
132b054a
141d7636
1515d5ae
hex102380

1057664 has 16 divisors (see below), whose sum is σ = 2107320. Its totient is φ = 528768.

The previous prime is 1057663. The next prime is 1057681. The reversal of 1057664 is 4667501.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×10576642 = 2237306273792, 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 (1057663) 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 as a sum of consecutive naturals, namely, 4004 + ... + 4259.

21057664 is an apocalyptic number.

It is an amenable number.

1057664 is a deficient number, since it is larger than the sum of its proper divisors (1049656).

1057664 is an frugal number, since it uses more digits than its factorization.

1057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277 (or 8265 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 1057664 is about 1028.4279264975. The cubic root of 1057664 is about 101.8863272938.

The spelling of 1057664 in words is "one million, fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 8263 16526 33052 66104 132208 264416 528832 1057664