Search a number
-
+
1084669056 = 2734233449
BaseRepresentation
bin100000010100110…
…1011110010000000
32210120222220020000
41000221223302000
54210133402211
6255344120000
735610351312
oct10051536200
92716886200
101084669056
115072a3a09
12263306000
13143943813
14a40ab7b2
1565358656
hex40a6bc80

1084669056 has 160 divisors (see below), whose sum is σ = 3249031500. Its totient is φ = 359202816.

The previous prime is 1084669043. The next prime is 1084669081. The reversal of 1084669056 is 6509664801.

It can be written as a sum of positive squares in 2 ways, for example, as 1073217600 + 11451456 = 32760^2 + 3384^2 .

It is a super-2 number, since 2×10846690562 = 2353013922087862272, which contains 22 as substring.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2415520 + ... + 2415968.

Almost surely, 21084669056 is an apocalyptic number.

1084669056 is a gapful number since it is divisible by the number (16) 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 1084669056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624515750).

1084669056 is an abundant number, since it is smaller than the sum of its proper divisors (2164362444).

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

1084669056 is an equidigital number, since it uses as much as digits as its factorization.

1084669056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1084669056 is about 32934.3142633940. The cubic root of 1084669056 is about 1027.4619560745.

The spelling of 1084669056 in words is "one billion, eighty-four million, six hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 233 288 324 384 432 449 466 576 648 699 864 898 932 1152 1296 1347 1398 1728 1796 1864 2097 2592 2694 2796 3456 3592 3728 4041 4194 5184 5388 5592 6291 7184 7456 8082 8388 10368 10776 11184 12123 12582 14368 14912 16164 16776 18873 21552 22368 24246 25164 28736 29824 32328 33552 36369 37746 43104 44736 48492 50328 57472 64656 67104 72738 75492 86208 89472 96984 100656 104617 129312 134208 145476 150984 172416 193968 201312 209234 258624 268416 290952 301968 313851 387936 402624 418468 517248 581904 603936 627702 775872 805248 836936 941553 1163808 1207872 1255404 1551744 1673872 1883106 2327616 2415744 2510808 2824659 3347744 3766212 4655232 5021616 5649318 6695488 7532424 8473977 10043232 11298636 13390976 15064848 16947954 20086464 22597272 30129696 33895908 40172928 45194544 60259392 67791816 90389088 120518784 135583632 180778176 271167264 361556352 542334528 1084669056