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1066001004 = 2232192835507
BaseRepresentation
bin111111100010011…
…110001001101100
32202021212110110200
4333202132021230
54140344013004
6253440033500
735262600435
oct7742361154
92667773420
101066001004
114a7803372
12259002890
1313cb08733
14a180c48c
15638bc239
hex3f89e26c

1066001004 has 72 divisors (see below), whose sum is σ = 2846975040. Its totient is φ = 335381472.

The previous prime is 1066000979. The next prime is 1066001009. The reversal of 1066001004 is 4001006601.

1066001004 is a `hidden beast` number, since 1 + 0 + 660 + 0 + 1 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×10660010042 = 2272716281058016032, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1066001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190819 + ... + 196325.

It is an arithmetic number, because the mean of its divisors is an integer number (39541320).

Almost surely, 21066001004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423487520).

1066001004 is an abundant number, since it is smaller than the sum of its proper divisors (1780974036).

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

1066001004 is a wasteful number, since it uses less digits than its factorization.

1066001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1066001004 is about 32649.6708099791. The cubic root of 1066001004 is about 1021.5333224712.

Adding to 1066001004 its reverse (4001006601), we get a palindrome (5067007605).

The spelling of 1066001004 in words is "one billion, sixty-six million, one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 283 342 566 684 849 1132 1698 2547 3396 5094 5377 5507 10188 10754 11014 16131 16521 21508 22028 32262 33042 48393 49563 64524 66084 96786 99126 104633 193572 198252 209266 313899 418532 627798 941697 1255596 1558481 1883394 3116962 3766788 4675443 6233924 9350886 14026329 18701772 28052658 29611139 56105316 59222278 88833417 118444556 177666834 266500251 355333668 533000502 1066001004