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1027216 = 241931109
BaseRepresentation
bin11111010110010010000
31221012002001
43322302100
5230332331
634003344
711505541
oct3726220
91835061
101027216
11641843
12416554
1329c728
141ca4c8
15154561
hexfac90

1027216 has 40 divisors (see below), whose sum is σ = 2182400. Its totient is φ = 466560.

The previous prime is 1027211. The next prime is 1027223. The reversal of 1027216 is 6127201.

1027216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1027193 and 1027202.

It is not an unprimeable number, because it can be changed into a prime (1027211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9370 + ... + 9478.

It is an arithmetic number, because the mean of its divisors is an integer number (54560).

21027216 is an apocalyptic number.

1027216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091200).

1027216 is an abundant number, since it is smaller than the sum of its proper divisors (1155184).

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

1027216 is a wasteful number, since it uses less digits than its factorization.

1027216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 1027216 is about 1013.5166500852. The cubic root of 1027216 is about 100.8990921073.

The spelling of 1027216 in words is "one million, twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 31 38 62 76 109 124 152 218 248 304 436 496 589 872 1178 1744 2071 2356 3379 4142 4712 6758 8284 9424 13516 16568 27032 33136 54064 64201 128402 256804 513608 1027216