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3120404020 = 2252360111287
BaseRepresentation
bin1011100111111101…
…1001011000110100
322001110120221121021
42321333121120310
522342310412040
61233345030524
7140216665546
oct27177313064
98043527537
103120404020
1113614287a8
12731025444
133a9620316
142185c9696
15133e2924a
hexb9fd9634

3120404020 has 48 divisors (see below), whose sum is σ = 6849739008. Its totient is φ = 1191801600.

The previous prime is 3120404017. The next prime is 3120404033. The reversal of 3120404020 is 204040213.

It is a junction number, because it is equal to n+sod(n) for n = 3120403985 and 3120404003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270817 + ... + 282103.

It is an arithmetic number, because the mean of its divisors is an integer number (142702896).

Almost surely, 23120404020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424869504).

3120404020 is an abundant number, since it is smaller than the sum of its proper divisors (3729334988).

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

3120404020 is a wasteful number, since it uses less digits than its factorization.

3120404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920 (or 11918 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3120404020 is about 55860.5766171457. The cubic root of 3120404020 is about 1461.2917853408.

Adding to 3120404020 its reverse (204040213), we get a palindrome (3324444233).

The spelling of 3120404020 in words is "three billion, one hundred twenty million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 601 1202 2404 3005 6010 11287 12020 13823 22574 27646 45148 55292 56435 69115 112870 138230 225740 259601 276460 519202 1038404 1298005 2596010 5192020 6783487 13566974 27133948 33917435 67834870 135669740 156020201 312040402 624080804 780101005 1560202010 3120404020