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30202320 = 2435612063
BaseRepresentation
bin111001100110…
…1100111010000
32002211102210110
41303031213100
530212433240
62555201320
7514500261
oct163154720
962742713
1030202320
11160594a5
12a146240
1363460c5
144022968
1529b8c80
hex1ccd9d0

30202320 has 80 divisors (see below), whose sum is σ = 95208192. Its totient is φ = 7918080.

The previous prime is 30202313. The next prime is 30202331. The reversal of 30202320 is 2320203.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30202296 and 30202305.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13609 + ... + 15671.

Almost surely, 230202320 is an apocalyptic number.

30202320 is a gapful number since it is divisible by the number (30) 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 30202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47604096).

30202320 is an abundant number, since it is smaller than the sum of its proper divisors (65005872).

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

30202320 is a wasteful number, since it uses less digits than its factorization.

30202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 30202320 is about 5495.6637451722. The cubic root of 30202320 is about 311.4201920784.

Adding to 30202320 its reverse (2320203), we get a palindrome (32522523).

The spelling of 30202320 in words is "thirty million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2063 2440 2928 3660 4126 4880 6189 7320 8252 10315 12378 14640 16504 20630 24756 30945 33008 41260 49512 61890 82520 99024 123780 125843 165040 247560 251686 377529 495120 503372 629215 755058 1006744 1258430 1510116 1887645 2013488 2516860 3020232 3775290 5033720 6040464 7550580 10067440 15101160 30202320