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1075284 = 2232717251
BaseRepresentation
bin100000110100001010100
32000122000100
410012201110
5233402114
635014100
712065640
oct4064124
92018010
101075284
11674971
1243a330
132b8582
141ddc20
15163909
hex106854

1075284 has 72 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 288000.

The previous prime is 1075279. The next prime is 1075289. The reversal of 1075284 is 4825701.

It is an interprime number because it is at equal distance from previous prime (1075279) and next prime (1075289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4159 + ... + 4409.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

21075284 is an apocalyptic number.

1075284 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 1075284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104).

1075284 is an abundant number, since it is smaller than the sum of its proper divisors (2226924).

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

1075284 is a wasteful number, since it uses less digits than its factorization.

1075284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1075284 is about 1036.9590155835. The cubic root of 1075284 is about 102.4490010028.

Adding to 1075284 its sum of digits (27), we get a triangular number (1075311 = T1466).

The spelling of 1075284 in words is "one million, seventy-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 251 252 306 357 476 502 612 714 753 1004 1071 1428 1506 1757 2142 2259 3012 3514 4267 4284 4518 5271 7028 8534 9036 10542 12801 15813 17068 21084 25602 29869 31626 38403 51204 59738 63252 76806 89607 119476 153612 179214 268821 358428 537642 1075284