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1016226 = 2361741
BaseRepresentation
bin11111000000110100010
31220122000000
43320012202
5230004401
633440430
711431521
oct3700642
91818000
101016226
11634562
12410116
13297723
141c64b8
15151186
hexf81a2

1016226 has 56 divisors (see below), whose sum is σ = 2478924. Its totient is φ = 311040.

The previous prime is 1016221. The next prime is 1016227. The reversal of 1016226 is 6226101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 998001 + 18225 = 999^2 + 135^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1016199 and 1016208.

It is not an unprimeable number, because it can be changed into a prime (1016221) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 24766 + ... + 24806.

21016226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239462).

1016226 is an abundant number, since it is smaller than the sum of its proper divisors (1462698).

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

1016226 is an equidigital number, since it uses as much as digits as its factorization.

1016226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1016226 is about 1008.0803539401. The cubic root of 1016226 is about 100.5379673878.

It can be divided in two parts, 101 and 6226, that multiplied together give a palindrome (628826).

The spelling of 1016226 in words is "one million, sixteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 81 82 102 123 153 162 243 246 306 369 459 486 697 729 738 918 1107 1377 1394 1458 2091 2214 2754 3321 4131 4182 6273 6642 8262 9963 12393 12546 18819 19926 24786 29889 37638 56457 59778 112914 169371 338742 508113 1016226