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30116064 = 2531119279
BaseRepresentation
bin111001011100…
…0100011100000
32002200001110210
41302320203200
530202203224
62553254120
7513660636
oct162704340
962601423
1030116064
1115aaa710
12a104340
136315a74
143ddd356
15299d429
hex1cb88e0

30116064 has 144 divisors (see below), whose sum is σ = 92171520. Its totient is φ = 8536320.

The previous prime is 30116059. The next prime is 30116069. The reversal of 30116064 is 46061103.

It is an interprime number because it is at equal distance from previous prime (30116059) and next prime (30116069).

It is a self number, because there is not a number n which added to its sum of digits gives 30116064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30116069) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 381177 + ... + 381255.

It is an arithmetic number, because the mean of its divisors is an integer number (640080).

Almost surely, 230116064 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 30116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

30116064 is an abundant number, since it is smaller than the sum of its proper divisors (62055456).

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

30116064 is a wasteful number, since it uses less digits than its factorization.

30116064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 30116064 is about 5487.8104923549. The cubic root of 30116064 is about 311.1234436532.

Adding to 30116064 its reverse (46061103), we get a palindrome (76177167).

The spelling of 30116064 in words is "thirty million, one hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 79 88 96 114 132 152 158 176 209 228 237 264 304 316 352 361 418 456 474 528 608 627 632 722 836 869 912 948 1056 1083 1254 1264 1444 1501 1672 1738 1824 1896 2166 2508 2528 2607 2888 3002 3344 3476 3792 3971 4332 4503 5016 5214 5776 6004 6688 6952 7584 7942 8664 9006 10032 10428 11552 11913 12008 13904 15884 16511 17328 18012 20064 20856 23826 24016 27808 28519 31768 33022 34656 36024 41712 47652 48032 49533 57038 63536 66044 72048 83424 85557 95304 99066 114076 127072 132088 144096 171114 190608 198132 228152 264176 313709 342228 381216 396264 456304 528352 627418 684456 792528 912608 941127 1254836 1368912 1585056 1882254 2509672 2737824 3764508 5019344 7529016 10038688 15058032 30116064