Search a number
-
+
1081645776 = 243222932801
BaseRepresentation
bin100000001111000…
…1001101011010000
32210101022022001200
41000132021223100
54203400131101
6255155231200
735542560141
oct10036115320
92711268050
101081645776
11505619532
122622a8500
131431256b3
14a3921ac8
1564e5c986
hex40789ad0

1081645776 has 60 divisors (see below), whose sum is σ = 3040417380. Its totient is φ = 358963200.

The previous prime is 1081645727. The next prime is 1081645777. The reversal of 1081645776 is 6775461801.

1081645776 is a `hidden beast` number, since 10 + 8 + 1 + 64 + 577 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 614048400 + 467597376 = 24780^2 + 21624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081645777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16576 + ... + 49376.

It is an arithmetic number, because the mean of its divisors is an integer number (50673623).

Almost surely, 21081645776 is an apocalyptic number.

1081645776 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 1081645776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520208690).

1081645776 is an abundant number, since it is smaller than the sum of its proper divisors (1958771604).

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

1081645776 is a wasteful number, since it uses less digits than its factorization.

1081645776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33044 (or 33035 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1081645776 is about 32888.3836027251. The cubic root of 1081645776 is about 1026.5064585755.

The spelling of 1081645776 in words is "one billion, eighty-one million, six hundred forty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 3664 4122 5496 8244 10992 16488 32801 32976 65602 98403 131204 196806 262408 295209 393612 524816 590418 787224 1180836 1574448 2361672 4723344 7511429 15022858 22534287 30045716 45068574 60091432 67602861 90137148 120182864 135205722 180274296 270411444 360548592 540822888 1081645776