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1116641328 = 2431117314013
BaseRepresentation
bin100001010001110…
…1001100000110000
32212211011020221020
41002203221200300
54241330010303
6302445255440
736446203035
oct10243514060
92784136836
101116641328
11523351180
12271b64580
1314a45941a
14a843138c
1568071a53
hex428e9830

1116641328 has 160 divisors (see below), whose sum is σ = 3440351232. Its totient is φ = 308121600.

The previous prime is 1116641299. The next prime is 1116641333. The reversal of 1116641328 is 8231466111.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

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, 276250 + ... + 280262.

Almost surely, 21116641328 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 1116641328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720175616).

1116641328 is an abundant number, since it is smaller than the sum of its proper divisors (2323709904).

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

1116641328 is a wasteful number, since it uses less digits than its factorization.

1116641328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4077 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 1116641328 is about 33416.1836241064. The cubic root of 1116641328 is about 1037.4596925938.

The spelling of 1116641328 in words is "one billion, one hundred sixteen million, six hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 31 33 34 44 48 51 62 66 68 88 93 102 124 132 136 176 186 187 204 248 264 272 341 372 374 408 496 527 528 561 682 744 748 816 1023 1054 1122 1364 1488 1496 1581 2046 2108 2244 2728 2992 3162 4013 4092 4216 4488 5456 5797 6324 8026 8184 8432 8976 11594 12039 12648 16052 16368 17391 23188 24078 25296 32104 34782 44143 46376 48156 64208 68221 69564 88286 92752 96312 124403 132429 136442 139128 176572 192624 204663 248806 264858 272884 278256 353144 373209 409326 497612 529716 545768 706288 746418 750431 818652 995224 1059432 1091536 1368433 1492836 1500862 1637304 1990448 2114851 2118864 2251293 2736866 2985672 3001724 3274608 4105299 4229702 4502586 5473732 5971344 6003448 6344553 8210598 8459404 9005172 10947464 12006896 12689106 16421196 16918808 18010344 21894928 23263361 25378212 32842392 33837616 36020688 46526722 50756424 65684784 69790083 93053444 101512848 139580166 186106888 279160332 372213776 558320664 1116641328