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3040206120 = 2332576191949
BaseRepresentation
bin1011010100110101…
…1101110100101000
321211212200110202200
42311031131310220
522211243043440
61221402100200
7135224216460
oct26515356450
97755613680
103040206120
111320131946
1270a1aa660
13395b20b43
1420bab0ba0
1512bd86c30
hexb535dd28

3040206120 has 192 divisors, whose sum is σ = 11316240000. Its totient is φ = 693425664.

The previous prime is 3040206119. The next prime is 3040206133. The reversal of 3040206120 is 216020403.

It is a happy number.

3040206120 is a `hidden beast` number, since 30 + 4 + 0 + 20 + 612 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3040206093 and 3040206102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1558906 + ... + 1560854.

It is an arithmetic number, because the mean of its divisors is an integer number (58938750).

Almost surely, 23040206120 is an apocalyptic number.

3040206120 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 3040206120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5658120000).

3040206120 is an abundant number, since it is smaller than the sum of its proper divisors (8276033880).

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

3040206120 is a wasteful number, since it uses less digits than its factorization.

3040206120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2585 counting only the distinct ones).

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

The square root of 3040206120 is about 55138.0641662364. The cubic root of 3040206120 is about 1448.6640282863.

Adding to 3040206120 its reverse (216020403), we get a palindrome (3256226523).

The spelling of 3040206120 in words is "three billion, forty million, two hundred six thousand, one hundred twenty".