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30123936 = 2532104597
BaseRepresentation
bin111001011101…
…0011110100000
32002200110021100
41302322132200
530202431221
62553354400
7514022613
oct162723640
962613240
1030123936
1116005617
12a108a00
13631951b
14400217a
1529a0926
hex1cba7a0

30123936 has 36 divisors (see below), whose sum is σ = 85665762. Its totient is φ = 10041216.

The previous prime is 30123931. The next prime is 30123991. The reversal of 30123936 is 63932103.

It can be written as a sum of positive squares in only one way, i.e., 27499536 + 2624400 = 5244^2 + 1620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (30123931) 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 5 ways as a sum of consecutive naturals, for example, 52011 + ... + 52586.

Almost surely, 230123936 is an apocalyptic number.

30123936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30123936 is an abundant number, since it is smaller than the sum of its proper divisors (55541826).

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

30123936 is a wasteful number, since it uses less digits than its factorization.

30123936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104613 (or 104602 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 30123936 is about 5488.5276714252. The cubic root of 30123936 is about 311.1505493466.

The spelling of 30123936 in words is "thirty million, one hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 104597 209194 313791 418388 627582 836776 941373 1255164 1673552 1882746 2510328 3347104 3765492 5020656 7530984 10041312 15061968 30123936