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1066731264 = 2832716521
BaseRepresentation
bin111111100101010…
…000011100000000
32202100020120012100
4333211100130000
54141040400024
6253503430400
735302031454
oct7745203400
92670216170
101066731264
114a8161a95
122592b5400
13140002c41
14a195c664
15639b37c9
hex3f950700

1066731264 has 108 divisors (see below), whose sum is σ = 3119446512. Its totient is φ = 350515200.

The previous prime is 1066731251. The next prime is 1066731277. The reversal of 1066731264 is 4621376601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1066731251) and next prime (1066731277).

It is a super-2 number, since 2×10667312642 = 2275831179190075392, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160324 + ... + 166844.

It is an arithmetic number, because the mean of its divisors is an integer number (28883764).

Almost surely, 21066731264 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 1066731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559723256).

1066731264 is an abundant number, since it is smaller than the sum of its proper divisors (2052715248).

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

1066731264 is an equidigital number, since it uses as much as digits as its factorization.

1066731264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1066731264 is about 32660.8521627958. The cubic root of 1066731264 is about 1021.7665350858.

The spelling of 1066731264 in words is "one billion, sixty-six million, seven hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 568 576 639 768 852 1136 1152 1278 1704 2272 2304 2556 3408 4544 5112 6521 6816 9088 10224 13042 13632 18176 19563 20448 26084 27264 39126 40896 52168 54528 58689 78252 81792 104336 117378 156504 163584 208672 234756 313008 417344 462991 469512 626016 834688 925982 939024 1252032 1388973 1669376 1851964 1878048 2504064 2777946 3703928 3756096 4166919 5008128 5555892 7407856 7512192 8333838 11111784 14815712 15024384 16667676 22223568 29631424 33335352 44447136 59262848 66670704 88894272 118525696 133341408 177788544 266682816 355577088 533365632 1066731264