Search a number
-
+
1062048 = 253132337
BaseRepresentation
bin100000011010010100000
31222221212010
410003102200
5232441143
634432520
712012231
oct4032240
91887763
101062048
11665a29
12432740
132b2540
141d9088
1515ea33
hex1034a0

1062048 has 96 divisors (see below), whose sum is σ = 3217536. Its totient is φ = 304128.

The previous prime is 1062031. The next prime is 1062073. The reversal of 1062048 is 8402601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10620482 = 2255891908608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28686 + ... + 28722.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

21062048 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 1062048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768).

1062048 is an abundant number, since it is smaller than the sum of its proper divisors (2155488).

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

1062048 is a wasteful number, since it uses less digits than its factorization.

1062048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1062048 is about 1030.5571308763. The cubic root of 1062048 is about 102.0269056281.

Adding to 1062048 its reverse (8402601), we get a palindrome (9464649).

The spelling of 1062048 in words is "one million, sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 37 39 46 48 52 69 74 78 92 96 104 111 138 148 156 184 208 222 276 296 299 312 368 416 444 481 552 592 598 624 736 851 888 897 962 1104 1184 1196 1248 1443 1702 1776 1794 1924 2208 2392 2553 2886 3404 3552 3588 3848 4784 5106 5772 6808 7176 7696 9568 10212 11063 11544 13616 14352 15392 20424 22126 23088 27232 28704 33189 40848 44252 46176 66378 81696 88504 132756 177008 265512 354016 531024 1062048