Search a number
-
+
1083463056 = 24321322112
BaseRepresentation
bin100000010010100…
…0101010110010000
32210111201121220100
41000211011112100
54204331304211
6255302212400
735564166264
oct10045052620
92714647810
101083463056
1150664a915
12262a24100
13143610900
14a3c760a4
15651bb156
hex40945590

1083463056 has 135 divisors (see below), whose sum is σ = 3299014017. Its totient is φ = 331793280.

The previous prime is 1083463037. The next prime is 1083463067. The reversal of 1083463056 is 6503643801.

The square root of 1083463056 is 32916.

It is a perfect power (a square), and thus also a powerful number.

1083463056 is a `hidden beast` number, since 1 + 0 + 8 + 346 + 305 + 6 = 666.

1083463056 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 160275600 + 923187456 = 12660^2 + 30384^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1083463056.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5134791 + ... + 5135001.

Almost surely, 21083463056 is an apocalyptic number.

1083463056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1083463056 is the 32916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083463056

1083463056 is an abundant number, since it is smaller than the sum of its proper divisors (2215550961).

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

1083463056 is a wasteful number, since it uses less digits than its factorization.

1083463056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 1083463056 is about 1027.0810169489.

Multiplying 1083463056 by its sum of digits (36), we get a square (39004670016 = 1974962).

1083463056 divided by its sum of digits (36) gives a square (30096196 = 54862).

The spelling of 1083463056 in words is "one billion, eighty-three million, four hundred sixty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 211 234 312 338 422 468 507 624 633 676 844 936 1014 1266 1352 1521 1688 1872 1899 2028 2532 2704 2743 3042 3376 3798 4056 5064 5486 6084 7596 8112 8229 10128 10972 12168 15192 16458 21944 24336 24687 30384 32916 35659 43888 44521 49374 65832 71318 89042 98748 106977 131664 133563 142636 178084 197496 213954 267126 285272 320931 356168 394992 400689 427908 534252 570544 578773 641862 712336 801378 855816 1068504 1157546 1283724 1602756 1711632 1736319 2137008 2315092 2567448 3205512 3472638 4630184 5134896 5208957 6411024 6945276 7524049 9260368 10417914 13890552 15048098 20835828 22572147 27781104 30096196 41671656 45144294 60192392 67716441 83343312 90288588 120384784 135432882 180577176 270865764 361154352 541731528 1083463056