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3086057940 = 22357171572753
BaseRepresentation
bin1011011111110001…
…1000000111010100
321222001221222122020
42313330120013110
522310012323230
61230120533140
7136322026320
oct26774300724
97861858566
103086057940
111343aaa009
127216211b0
133a24860b4
14213c08980
15130de2810
hexb7f181d4

3086057940 has 192 divisors, whose sum is σ = 10526713344. Its totient is φ = 659423232.

The previous prime is 3086057903. The next prime is 3086057951. The reversal of 3086057940 is 497506803.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3086057892 and 3086057901.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1119604 + ... + 1122356.

It is an arithmetic number, because the mean of its divisors is an integer number (54826632).

Almost surely, 23086057940 is an apocalyptic number.

3086057940 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 3086057940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263356672).

3086057940 is an abundant number, since it is smaller than the sum of its proper divisors (7440655404).

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

3086057940 is a wasteful number, since it uses less digits than its factorization.

3086057940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3086057940 is about 55552.2991423397. The cubic root of 3086057940 is about 1455.9105458919.

The spelling of 3086057940 in words is "three billion, eighty-six million, fifty-seven thousand, nine hundred forty".