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30030120 = 2332583417
BaseRepresentation
bin111001010001…
…1100100101000
32002111200120200
41302203210220
530141430440
62551352200
7513152241
oct162434450
962450520
1030030120
1115a5108a
12a082660
1362b5903
143db9cc8
152982c30
hex1ca3928

30030120 has 48 divisors (see below), whose sum is σ = 97599060. Its totient is φ = 8007936.

The previous prime is 30030101. The next prime is 30030131. The reversal of 30030120 is 2103003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26811684 + 3218436 = 5178^2 + 1794^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 11 ways as a sum of consecutive naturals, for example, 41349 + ... + 42068.

Almost surely, 230030120 is an apocalyptic number.

30030120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30030120 is an abundant number, since it is smaller than the sum of its proper divisors (67568940).

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

30030120 is a wasteful number, since it uses less digits than its factorization.

30030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83434 (or 83427 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 30030120 is about 5479.9744524952. The cubic root of 30030120 is about 310.8272045278.

Adding to 30030120 its reverse (2103003), we get a palindrome (32133123).

The spelling of 30030120 in words is "thirty million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 83417 166834 250251 333668 417085 500502 667336 750753 834170 1001004 1251255 1501506 1668340 2002008 2502510 3003012 3336680 3753765 5005020 6006024 7507530 10010040 15015060 30030120