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1067096992 = 251329197449
BaseRepresentation
bin111111100110101…
…001101110100000
32202100221010212211
4333212221232200
54141134100432
6253515331504
735305113643
oct7746515640
92670833784
101067096992
114a8391845
12259450b94
13140100550
14a1a15a5a
1563a36d47
hex3f9a9ba0

1067096992 has 96 divisors (see below), whose sum is σ = 2357586000. Its totient is φ = 472055808.

The previous prime is 1067096971. The next prime is 1067097047. The reversal of 1067096992 is 2996907601.

It can be written as a sum of positive squares in 8 ways, for example, as 735711376 + 331385616 = 27124^2 + 18204^2 .

It is a super-2 number, since 2×10670969922 = 2277391980670896128, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2376384 + ... + 2376832.

Almost surely, 21067096992 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 1067096992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178793000).

1067096992 is an abundant number, since it is smaller than the sum of its proper divisors (1290489008).

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

1067096992 is a wasteful number, since it uses less digits than its factorization.

1067096992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 49.

The square root of 1067096992 is about 32666.4505571083. The cubic root of 1067096992 is about 1021.8832923691.

The spelling of 1067096992 in words is "one billion, sixty-seven million, ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 197 208 232 377 394 416 449 464 754 788 898 928 1508 1576 1796 2561 3016 3152 3592 5122 5713 5837 6032 6304 7184 10244 11426 11674 12064 13021 14368 20488 22852 23348 26042 40976 45704 46696 52084 74269 81952 88453 91408 93392 104168 148538 169273 176906 182816 186784 208336 297076 338546 353812 416672 594152 677092 707624 1149889 1188304 1354184 1415248 2299778 2376608 2565137 2708368 2830496 4599556 5130274 5416736 9199112 10260548 18398224 20521096 33346781 36796448 41042192 66693562 82084384 133387124 266774248 533548496 1067096992