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1022112 = 25337132
BaseRepresentation
bin11111001100010100000
31220221002000
43321202200
5230201422
633524000
711454630
oct3714240
91827060
101022112
11638a23
12413600
1329a300
141c86c0
15152cac
hexf98a0

1022112 has 144 divisors (see below), whose sum is σ = 3689280. Its totient is φ = 269568.

The previous prime is 1022083. The next prime is 1022113. The reversal of 1022112 is 2112201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1022094 and 1022103.

It is not an unprimeable number, because it can be changed into a prime (1022113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78618 + ... + 78630.

It is an arithmetic number, because the mean of its divisors is an integer number (25620).

21022112 is an apocalyptic number.

1022112 is a gapful number since it is divisible by the number (12) 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 1022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844640).

1022112 is an abundant number, since it is smaller than the sum of its proper divisors (2667168).

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

1022112 is a wasteful number, since it uses less digits than its factorization.

1022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1022112 is about 1010.9955489516. The cubic root of 1022112 is about 100.7316997632.

Adding to 1022112 its reverse (2112201), we get a palindrome (3134313).

It can be divided in two parts, 10 and 22112, that added together give a palindrome (22122).

The spelling of 1022112 in words is "one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 72 78 84 91 96 104 108 112 117 126 144 156 168 169 182 189 208 216 224 234 252 273 288 312 336 338 351 364 378 416 432 468 504 507 546 624 672 676 702 728 756 819 864 936 1008 1014 1092 1183 1248 1352 1404 1456 1512 1521 1638 1872 2016 2028 2184 2366 2457 2704 2808 2912 3024 3042 3276 3549 3744 4056 4368 4563 4732 4914 5408 5616 6048 6084 6552 7098 8112 8736 9126 9464 9828 10647 11232 12168 13104 14196 16224 18252 18928 19656 21294 24336 26208 28392 31941 36504 37856 39312 42588 48672 56784 63882 73008 78624 85176 113568 127764 146016 170352 255528 340704 511056 1022112