Search a number
-
+
1028216 = 23724361
BaseRepresentation
bin11111011000001111000
31221020110002
43323001320
5230400331
634012132
711511500
oct3730170
91836402
101028216
11642572
12417048
132a0017
141caa00
151549cb
hexfb078

1028216 has 48 divisors (see below), whose sum is σ = 2332440. Its totient is φ = 423360.

The previous prime is 1028213. The next prime is 1028221. The reversal of 1028216 is 6128201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16826 + ... + 16886.

21028216 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 1028216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166220).

1028216 is an abundant number, since it is smaller than the sum of its proper divisors (1304224).

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

1028216 is a wasteful number, since it uses less digits than its factorization.

1028216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1028216 is about 1014.0098618850. The cubic root of 1028216 is about 100.9318234147.

Subtracting from 1028216 its sum of digits (20), we obtain a square (1028196 = 10142).

The spelling of 1028216 in words is "one million, twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 43 49 56 61 86 98 122 172 196 244 301 344 392 427 488 602 854 1204 1708 2107 2408 2623 2989 3416 4214 5246 5978 8428 10492 11956 16856 18361 20984 23912 36722 73444 128527 146888 257054 514108 1028216