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30065420 = 22572112789
BaseRepresentation
bin111001010110…
…0001100001100
32002120111000002
41302230030030
530144043140
62552223432
7513360200
oct162541414
962514002
1030065420
1115a75660
12a09ab78
1362c89b8
143dc8b00
15298d415
hex1cac30c

30065420 has 72 divisors (see below), whose sum is σ = 80151120. Its totient is φ = 9367680.

The previous prime is 30065419. The next prime is 30065437. The reversal of 30065420 is 2456003.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30065392 and 30065401.

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 23 ways as a sum of consecutive naturals, for example, 9386 + ... + 12174.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 230065420 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 30065420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075560).

30065420 is an abundant number, since it is smaller than the sum of its proper divisors (50085700).

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

30065420 is a wasteful number, since it uses less digits than its factorization.

30065420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 30065420 is about 5483.1943244791. The cubic root of 30065420 is about 310.9489478963.

The spelling of 30065420 in words is "thirty million, sixty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 2789 5390 5578 10780 11156 13945 19523 27890 30679 39046 55780 61358 78092 97615 122716 136661 153395 195230 214753 273322 306790 390460 429506 546644 613580 683305 859012 1073765 1366610 1503271 2147530 2733220 3006542 4295060 6013084 7516355 15032710 30065420