Search a number
-
+
1366531056 = 2432114320063
BaseRepresentation
bin101000101110011…
…1001101111110000
310112020100222012100
41101130321233300
510244312443211
6343333300400
745602215362
oct12134715760
93466328170
101366531056
1164140a010
12321794700
1318a160877
14cd6bcd32
157ee83156
hex51739bf0

1366531056 has 120 divisors (see below), whose sum is σ = 4269298176. Its totient is φ = 404449920.

The previous prime is 1366531031. The next prime is 1366531079. The reversal of 1366531056 is 6501356631.

1366531056 is a `hidden beast` number, since 13 + 66 + 531 + 0 + 56 = 666.

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 1366531056.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 58081 + ... + 78143.

Almost surely, 21366531056 is an apocalyptic number.

1366531056 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 1366531056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134649088).

1366531056 is an abundant number, since it is smaller than the sum of its proper divisors (2902767120).

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

1366531056 is a wasteful number, since it uses less digits than its factorization.

1366531056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20131 (or 20122 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1366531056 is about 36966.6208355592. The cubic root of 1366531056 is about 1109.7023404443.

Adding to 1366531056 its reverse (6501356631), we get a palindrome (7867887687).

The spelling of 1366531056 in words is "one billion, three hundred sixty-six million, five hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 43 44 48 66 72 86 88 99 129 132 144 172 176 198 258 264 344 387 396 473 516 528 688 774 792 946 1032 1419 1548 1584 1892 2064 2838 3096 3784 4257 5676 6192 7568 8514 11352 17028 20063 22704 34056 40126 60189 68112 80252 120378 160504 180567 220693 240756 321008 361134 441386 481512 662079 722268 862709 882772 963024 1324158 1444536 1725418 1765544 1986237 2588127 2648316 2889072 3450836 3531088 3972474 5176254 5296632 6901672 7764381 7944948 9489799 10352508 10593264 13803344 15528762 15889896 18979598 20705016 28469397 31057524 31779792 37959196 41410032 56938794 62115048 75918392 85408191 113877588 124230096 151836784 170816382 227755176 341632764 455510352 683265528 1366531056