Search a number
-
+
1056160116 = 2232112376553
BaseRepresentation
bin111110111100111…
…011100101110100
32201121100111022100
4332330323211310
54130334110431
6252445102100
735113133004
oct7674734564
92647314270
101056160116
114a21a1800
12255857930
1313aa7141b
14a03aa004
1562ac64e6
hex3ef3b974

1056160116 has 108 divisors (see below), whose sum is σ = 3014276356. Its totient is φ = 311351040.

The previous prime is 1056160081. The next prime is 1056160129. The reversal of 1056160116 is 6110616501.

1056160116 is a `hidden beast` number, since 1 + 0 + 56 + 1 + 601 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 679644900 + 376515216 = 26070^2 + 19404^2 .

It is a super-2 number, since 2×10561601162 = 2230948381258266912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056160116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157896 + ... + 164448.

Almost surely, 21056160116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056160116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507138178).

1056160116 is an abundant number, since it is smaller than the sum of its proper divisors (1958116240).

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

1056160116 is a wasteful number, since it uses less digits than its factorization.

1056160116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1056160116 is about 32498.6171398107. The cubic root of 1056160116 is about 1018.3801393592.

Adding to 1056160116 its reverse (6110616501), we get a palindrome (7166776617).

The spelling of 1056160116 in words is "one billion, fifty-six million, one hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 121 132 148 198 222 242 333 363 396 407 444 484 666 726 814 1089 1221 1332 1452 1628 2178 2442 3663 4356 4477 4884 6553 7326 8954 13106 13431 14652 17908 19659 26212 26862 39318 40293 53724 58977 72083 78636 80586 117954 144166 161172 216249 235908 242461 288332 432498 484922 648747 727383 792913 864996 969844 1297494 1454766 1585826 2182149 2378739 2594988 2667071 2909532 3171652 4364298 4757478 5334142 7136217 8001213 8728596 9514956 10668284 14272434 16002426 24003639 28544868 29337781 32004852 48007278 58675562 88013343 96014556 117351124 176026686 264040029 352053372 528080058 1056160116