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1066338 = 233721331
BaseRepresentation
bin100000100010101100010
32000011202000
410010111202
5233110323
634504430
712030600
oct4042542
92004660
101066338
11669179
12435116
132b4490
141da870
15160e43
hex104562

1066338 has 96 divisors (see below), whose sum is σ = 3064320. Its totient is φ = 272160.

The previous prime is 1066333. The next prime is 1066339. The reversal of 1066338 is 8336601.

It is a super-2 number, since 2×10663382 = 2274153460488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066333) 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 47 ways as a sum of consecutive naturals, for example, 34383 + ... + 34413.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

21066338 is an apocalyptic number.

1066338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532160).

1066338 is an abundant number, since it is smaller than the sum of its proper divisors (1997982).

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

1066338 is a wasteful number, since it uses less digits than its factorization.

1066338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1066338 is about 1032.6364316641. The cubic root of 1066338 is about 102.1640957258.

It can be divided in two parts, 10663 and 38, that added together give a palindrome (10701).

The spelling of 1066338 in words is "one million, sixty-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 49 54 62 63 78 91 93 98 117 126 147 182 186 189 217 234 273 279 294 351 378 403 434 441 546 558 637 651 702 806 819 837 882 1209 1274 1302 1323 1519 1638 1674 1911 1953 2418 2457 2646 2821 3038 3627 3822 3906 4557 4914 5642 5733 5859 7254 8463 9114 10881 11466 11718 13671 16926 17199 19747 21762 25389 27342 34398 39494 41013 50778 59241 76167 82026 118482 152334 177723 355446 533169 1066338