Search a number
-
+
1068283392 = 29311232749
BaseRepresentation
bin111111101011001…
…011011000000000
32202110011102022120
4333223023120000
54141440032032
6254001004240
735321154561
oct7753133000
92673142276
101068283392
114a9022140
12259923680
13140427567
14a1c44168
1563bbd62c
hex3facb600

1068283392 has 160 divisors (see below), whose sum is σ = 3240864000. Its totient is φ = 309534720.

The previous prime is 1068283361. The next prime is 1068283481. The reversal of 1068283392 is 2933828601.

1068283392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10682833922 = 2282458811246051328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387234 + ... + 389982.

It is an arithmetic number, because the mean of its divisors is an integer number (20255400).

Almost surely, 21068283392 is an apocalyptic number.

1068283392 is a gapful number since it is divisible by the number (12) 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 1068283392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620432000).

1068283392 is an abundant number, since it is smaller than the sum of its proper divisors (2172580608).

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

1068283392 is a wasteful number, since it uses less digits than its factorization.

1068283392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1068283392 is about 32684.6048163352. The cubic root of 1068283392 is about 1022.2618625530.

The spelling of 1068283392 in words is "one billion, sixty-eight million, two hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 512 528 552 704 736 759 768 1012 1056 1104 1408 1472 1518 1536 2024 2112 2208 2749 2816 2944 3036 4048 4224 4416 5498 5632 5888 6072 8096 8247 8448 8832 10996 11776 12144 16192 16494 16896 17664 21992 24288 30239 32384 32988 35328 43984 48576 60478 63227 64768 65976 87968 90717 97152 120956 126454 129536 131952 175936 181434 189681 194304 241912 252908 263904 351872 362868 379362 388608 483824 505816 527808 695497 703744 725736 758724 967648 1011632 1055616 1390994 1407488 1451472 1517448 1935296 2023264 2086491 2111232 2781988 2902944 3034896 3870592 4046528 4172982 4222464 5563976 5805888 6069792 7741184 8093056 8345964 11127952 11611776 12139584 15482368 16186112 16691928 22255904 23223552 24279168 32372224 33383856 44511808 46447104 48558336 66767712 89023616 97116672 133535424 178047232 267070848 356094464 534141696 1068283392