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1012284 = 2233713103
BaseRepresentation
bin11110111001000111100
31220102121000
43313020330
5224343114
633410300
711414160
oct3671074
91812530
101012284
116315a9
12409990
132959b0
141c4ca0
1514ee09
hexf723c

1012284 has 96 divisors (see below), whose sum is σ = 3261440. Its totient is φ = 264384.

The previous prime is 1012279. The next prime is 1012289. The reversal of 1012284 is 4822101.

It is an interprime number because it is at equal distance from previous prime (1012279) and next prime (1012289).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9777 + ... + 9879.

21012284 is an apocalyptic number.

1012284 is a gapful number since it is divisible by the number (14) 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 1012284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630720).

1012284 is an abundant number, since it is smaller than the sum of its proper divisors (2249156).

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

1012284 is a wasteful number, since it uses less digits than its factorization.

1012284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1012284 is about 1006.1232528870. The cubic root of 1012284 is about 100.4078013864.

Adding to 1012284 its reverse (4822101), we get a palindrome (5834385).

It can be divided in two parts, 1012 and 284, that added together give a 4-th power (1296 = 64).

The spelling of 1012284 in words is "one million, twelve thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 103 108 117 126 156 182 189 206 234 252 273 309 351 364 378 412 468 546 618 702 721 756 819 927 1092 1236 1339 1404 1442 1638 1854 2163 2457 2678 2781 2884 3276 3708 4017 4326 4914 5356 5562 6489 8034 8652 9373 9828 11124 12051 12978 16068 18746 19467 24102 25956 28119 36153 37492 38934 48204 56238 72306 77868 84357 112476 144612 168714 253071 337428 506142 1012284