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3000023120 = 24537500289
BaseRepresentation
bin1011001011010000…
…1011100001010000
321202002001222001102
42302310023201100
522121001214440
61213404523532
7134225530043
oct26264134120
97662058042
103000023120
1112aa486856
126b88505a8
1338a6c1c13
14206610c5a
1512859ab15
hexb2d0b850

3000023120 has 20 divisors (see below), whose sum is σ = 6975053940. Its totient is φ = 1200009216.

The previous prime is 3000023087. The next prime is 3000023161. The reversal of 3000023120 is 213200003.

It can be written as a sum of positive squares in 2 ways, for example, as 1876968976 + 1123054144 = 43324^2 + 33512^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 18750065 + ... + 18750224.

It is an arithmetic number, because the mean of its divisors is an integer number (348752697).

Almost surely, 23000023120 is an apocalyptic number.

It is an amenable number.

3000023120 is an abundant number, since it is smaller than the sum of its proper divisors (3975030820).

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

3000023120 is a wasteful number, since it uses less digits than its factorization.

3000023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37500302 (or 37500296 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3000023120 is about 54772.4668058688. The cubic root of 3000023120 is about 1442.2532752768.

Adding to 3000023120 its reverse (213200003), we get a palindrome (3213223123).

The spelling of 3000023120 in words is "three billion, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 37500289 75000578 150001156 187501445 300002312 375002890 600004624 750005780 1500011560 3000023120