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30643120 = 245675717
BaseRepresentation
bin111010011100…
…1001110110000
32010122211110101
41310321032300
530321034440
63012442144
7521314354
oct164711660
963584411
1030643120
111632a6a2
12a319354
13646b931
1440d9464
152a5469a
hex1d393b0

30643120 has 40 divisors (see below), whose sum is σ = 72321264. Its totient is φ = 12072192.

The previous prime is 30643117. The next prime is 30643121. The reversal of 30643120 is 2134603.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (30643121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2502 + ... + 8218.

Almost surely, 230643120 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 30643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36160632).

30643120 is an abundant number, since it is smaller than the sum of its proper divisors (41678144).

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

30643120 is a wasteful number, since it uses less digits than its factorization.

30643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5791 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 30643120 is about 5535.6228195209. The cubic root of 30643120 is about 312.9279300021.

Adding to 30643120 its reverse (2134603), we get a palindrome (32777723).

The spelling of 30643120 in words is "thirty million, six hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 5717 11434 22868 28585 45736 57170 91472 114340 228680 383039 457360 766078 1532156 1915195 3064312 3830390 6128624 7660780 15321560 30643120