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30232080 = 24325199211
BaseRepresentation
bin111001101010…
…0111000010000
32002212221121200
41303110320100
530214411310
62555551200
7514653114
oct163247020
962787550
1030232080
111607989a
12a15b500
136356808
14402d744
1529c29c0
hex1cd4e10

30232080 has 120 divisors (see below), whose sum is σ = 102523200. Its totient is φ = 7983360.

The previous prime is 30232079. The next prime is 30232091. The reversal of 30232080 is 8023203.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×302320802 = 1827957322252800, which contains 22 as substring.

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

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, 143175 + ... + 143385.

It is an arithmetic number, because the mean of its divisors is an integer number (854360).

Almost surely, 230232080 is an apocalyptic number.

30232080 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 30232080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51261600).

30232080 is an abundant number, since it is smaller than the sum of its proper divisors (72291120).

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

30232080 is a wasteful number, since it uses less digits than its factorization.

30232080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30232080 is about 5498.3706677524. The cubic root of 30232080 is about 311.5224449576.

Adding to 30232080 its reverse (8023203), we get a palindrome (38255283).

The spelling of 30232080 in words is "thirty million, two hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 199 211 240 360 398 422 597 633 720 796 844 995 1055 1194 1266 1592 1688 1791 1899 1990 2110 2388 2532 2985 3165 3184 3376 3582 3798 3980 4220 4776 5064 5970 6330 7164 7596 7960 8440 8955 9495 9552 10128 11940 12660 14328 15192 15920 16880 17910 18990 23880 25320 28656 30384 35820 37980 41989 47760 50640 71640 75960 83978 125967 143280 151920 167956 209945 251934 335912 377901 419890 503868 629835 671824 755802 839780 1007736 1259670 1511604 1679560 1889505 2015472 2519340 3023208 3359120 3779010 5038680 6046416 7558020 10077360 15116040 30232080