Search a number
-
+
1117844112 = 2437111717791
BaseRepresentation
bin100001010100000…
…1111001010010000
32212220102100211210
41002220033022100
54242132002422
6302531140120
736462342510
oct10250171220
92786370753
101117844112
11523aa2910
12272444640
1314a78aa28
14a8665840
156820d10c
hex42a0f290

1117844112 has 160 divisors (see below), whose sum is σ = 3812327424. Its totient is φ = 273254400.

The previous prime is 1117844107. The next prime is 1117844177. The reversal of 1117844112 is 2114487111.

It is a super-3 number, since 3×11178441123 (a number of 28 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1117844112.

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 31 ways as a sum of consecutive naturals, for example, 53937 + ... + 71727.

Almost surely, 21117844112 is an apocalyptic number.

1117844112 is a gapful number since it is divisible by the number (12) 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 1117844112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906163712).

1117844112 is an abundant number, since it is smaller than the sum of its proper divisors (2694483312).

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

1117844112 is a wasteful number, since it uses less digits than its factorization.

1117844112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17837 (or 17831 counting only the distinct ones).

The product of its digits is 1792, while the sum is 30.

The square root of 1117844112 is about 33434.1758085944. The cubic root of 1117844112 is about 1037.8320569096.

The spelling of 1117844112 in words is "one billion, one hundred seventeen million, eight hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 33 34 42 44 48 51 56 66 68 77 84 88 102 112 119 132 136 154 168 176 187 204 231 238 264 272 308 336 357 374 408 462 476 528 561 616 714 748 816 924 952 1122 1232 1309 1428 1496 1848 1904 2244 2618 2856 2992 3696 3927 4488 5236 5712 7854 8976 10472 15708 17791 20944 31416 35582 53373 62832 71164 106746 124537 142328 195701 213492 249074 284656 302447 373611 391402 426984 498148 587103 604894 747222 782804 853968 907341 996296 1174206 1209788 1369907 1494444 1565608 1814682 1992592 2117129 2348412 2419576 2739814 2988888 3131216 3326917 3629364 4109721 4234258 4696824 4839152 5479628 5977776 6351387 6653834 7258728 8219442 8468516 9393648 9980751 10959256 12702774 13307668 14517456 16438884 16937032 19961502 21918512 23288419 25405548 26615336 32877768 33874064 39923004 46576838 50811096 53230672 65755536 69865257 79846008 93153676 101622192 139730514 159692016 186307352 279461028 372614704 558922056 1117844112