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30116016 = 2433723433
BaseRepresentation
bin111001011100…
…0100010110000
32002200001102000
41302320202300
530202203031
62553254000
7513660540
oct162704260
962601360
1030116016
1115aaa677
12a104300
136315a38
143ddd320
15299d3e6
hex1cb88b0

30116016 has 160 divisors (see below), whose sum is σ = 103326720. Its totient is φ = 8211456.

The previous prime is 30115997. The next prime is 30116033. The reversal of 30116016 is 61061103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 30116016.

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, 69336 + ... + 69768.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 230116016 is an apocalyptic number.

30116016 is a gapful number since it is divisible by the number (36) 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 30116016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51663360).

30116016 is an abundant number, since it is smaller than the sum of its proper divisors (73210704).

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

30116016 is a wasteful number, since it uses less digits than its factorization.

30116016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 30116016 is about 5487.8061190242. The cubic root of 30116016 is about 311.1232783601.

Adding to 30116016 its reverse (61061103), we get a palindrome (91177119).

The spelling of 30116016 in words is "thirty million, one hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 433 483 504 552 621 644 756 828 866 966 1008 1104 1242 1288 1299 1449 1512 1656 1732 1932 2484 2576 2598 2898 3024 3031 3312 3464 3864 3897 4347 4968 5196 5796 6062 6928 7728 7794 8694 9093 9936 9959 10392 11592 11691 12124 15588 17388 18186 19918 20784 23184 23382 24248 27279 29877 31176 34776 36372 39836 46764 48496 54558 59754 62352 69552 69713 72744 79672 81837 89631 93528 109116 119508 139426 145488 159344 163674 179262 187056 209139 218232 239016 268893 278852 327348 358524 418278 436464 478032 537786 557704 627417 654696 717048 836556 1075572 1115408 1254834 1309392 1434096 1673112 1882251 2151144 2509668 3346224 3764502 4302288 5019336 7529004 10038672 15058008 30116016