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1116032688 = 2433109137173
BaseRepresentation
bin100001010000101…
…0100111010110000
32212210000100001000
41002201110322300
54241201021223
6302424242000
736441056421
oct10241247260
92783010030
101116032688
11522a75971
12271910300
1314a2a5394
14a8313648
1567ea1543
hex42854eb0

1116032688 has 160 divisors (see below), whose sum is σ = 3275236800. Its totient is φ = 363792384.

The previous prime is 1116032653. The next prime is 1116032699. The reversal of 1116032688 is 8862306111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6450970 + ... + 6451142.

It is an arithmetic number, because the mean of its divisors is an integer number (20470230).

Almost surely, 21116032688 is an apocalyptic number.

1116032688 is a gapful number since it is divisible by the number (18) 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 1116032688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637618400).

1116032688 is an abundant number, since it is smaller than the sum of its proper divisors (2159204112).

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

1116032688 is a wasteful number, since it uses less digits than its factorization.

1116032688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1116032688 is about 33407.0754182404. The cubic root of 1116032688 is about 1037.2711646661.

Adding to 1116032688 its reverse (8862306111), we get a palindrome (9978338799).

The spelling of 1116032688 in words is "one billion, one hundred sixteen million, thirty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 137 144 173 216 218 274 327 346 411 432 436 519 548 654 692 822 872 981 1038 1096 1233 1308 1384 1557 1644 1744 1962 2076 2192 2466 2616 2768 2943 3114 3288 3699 3924 4152 4671 4932 5232 5886 6228 6576 7398 7848 8304 9342 9864 11772 12456 14796 14933 15696 18684 18857 19728 23544 23701 24912 29592 29866 37368 37714 44799 47088 47402 56571 59184 59732 71103 74736 75428 89598 94804 113142 119464 134397 142206 150856 169713 179196 189608 213309 226284 238928 268794 284412 301712 339426 358392 379216 403191 426618 452568 509139 537588 568824 639927 678852 716784 806382 853236 905136 1018278 1075176 1137648 1279854 1357704 1612764 1706472 2036556 2150352 2559708 2583409 2715408 3225528 3412944 4073112 5119416 5166818 6451056 7750227 8146224 10238832 10333636 15500454 20667272 23250681 31000908 41334544 46501362 62001816 69752043 93002724 124003632 139504086 186005448 279008172 372010896 558016344 1116032688