Search a number
-
+
1066042368 = 21032131883
BaseRepresentation
bin111111100010101…
…000010000000000
32202021221120012200
4333202220100000
54140401323433
6253440553200
735263132146
oct7742502000
92667846180
101066042368
114a7831456
12259022800
1313cb21501
14a181d596
15638c9613
hex3f8a8400

1066042368 has 132 divisors (see below), whose sum is σ = 3105184368. Its totient is φ = 352235520.

The previous prime is 1066042363. The next prime is 1066042421. The reversal of 1066042368 is 8632406601.

1066042368 is a `hidden beast` number, since 10 + 6 + 604 + 2 + 36 + 8 = 666.

It is a super-2 number, since 2×10660423682 = 2272892660742094848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1066042361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1206855 + ... + 1207737.

It is an arithmetic number, because the mean of its divisors is an integer number (23524124).

Almost surely, 21066042368 is an apocalyptic number.

1066042368 is a gapful number since it is divisible by the number (18) 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 1066042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552592184).

1066042368 is an abundant number, since it is smaller than the sum of its proper divisors (2039142000).

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

1066042368 is a wasteful number, since it uses less digits than its factorization.

1066042368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1066042368 is about 32650.3042558565. The cubic root of 1066042368 is about 1021.5465351410.

Adding to 1066042368 its reverse (8632406601), we get a palindrome (9698448969).

The spelling of 1066042368 in words is "one billion, sixty-six million, forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 288 384 393 512 524 576 768 786 883 1024 1048 1152 1179 1536 1572 1766 2096 2304 2358 2649 3072 3144 3532 4192 4608 4716 5298 6288 7064 7947 8384 9216 9432 10596 12576 14128 15894 16768 18864 21192 25152 28256 31788 33536 37728 42384 50304 56512 63576 67072 75456 84768 100608 113024 115673 127152 134144 150912 169536 201216 226048 231346 254304 301824 339072 347019 402432 452096 462692 508608 603648 678144 694038 904192 925384 1017216 1041057 1207296 1356288 1388076 1850768 2034432 2082114 2712576 2776152 3701536 4068864 4164228 5552304 7403072 8137728 8328456 11104608 14806144 16656912 22209216 29612288 33313824 44418432 59224576 66627648 88836864 118449152 133255296 177673728 266510592 355347456 533021184 1066042368