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30050064 = 24321161311
BaseRepresentation
bin111001010100…
…0011100010000
32002112200221100
41302220130100
530143100224
62552024400
7513264342
oct162503420
962480840
1030050064
1115a65070
12a092100
1362c1a05
143dc3292
152988ac9
hex1ca8710

30050064 has 120 divisors (see below), whose sum is σ = 93547584. Its totient is φ = 8928000.

The previous prime is 30050051. The next prime is 30050071. The reversal of 30050064 is 46005003.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96469 + ... + 96779.

Almost surely, 230050064 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 30050064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46773792).

30050064 is an abundant number, since it is smaller than the sum of its proper divisors (63497520).

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

30050064 is a wasteful number, since it uses less digits than its factorization.

30050064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30050064 is about 5481.7938669746. The cubic root of 30050064 is about 310.8959995234.

Adding to 30050064 its reverse (46005003), we get a palindrome (76055067).

The spelling of 30050064 in words is "thirty million, fifty thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 61 66 72 88 99 122 132 144 176 183 198 244 264 311 366 396 488 528 549 622 671 732 792 933 976 1098 1244 1342 1464 1584 1866 2013 2196 2488 2684 2799 2928 3421 3732 4026 4392 4976 5368 5598 6039 6842 7464 8052 8784 10263 10736 11196 12078 13684 14928 16104 18971 20526 22392 24156 27368 30789 32208 37942 41052 44784 48312 54736 56913 61578 75884 82104 96624 113826 123156 151768 164208 170739 208681 227652 246312 303536 341478 417362 455304 492624 626043 682956 834724 910608 1252086 1365912 1669448 1878129 2504172 2731824 3338896 3756258 5008344 7512516 10016688 15025032 30050064