Search a number
-
+
3006521056 = 257115920681
BaseRepresentation
bin1011001100110011…
…1101111011100000
321202112022002112201
42303030331323200
522124132133211
61214200102544
7134335002340
oct26314757340
97675262481
103006521056
111303114850
126baa64a54
1338bb58756
14207422d20
15128e310c1
hexb333dee0

3006521056 has 96 divisors (see below), whose sum is σ = 7505084160. Its totient is φ = 1151462400.

The previous prime is 3006521047. The next prime is 3006521101. The reversal of 3006521056 is 6501256003.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135036 + ... + 155716.

It is an arithmetic number, because the mean of its divisors is an integer number (78177960).

Almost surely, 23006521056 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 3006521056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752542080).

3006521056 is an abundant number, since it is smaller than the sum of its proper divisors (4498563104).

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

3006521056 is a wasteful number, since it uses less digits than its factorization.

3006521056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20768 (or 20760 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 3006521056 is about 54831.7522608935. The cubic root of 3006521056 is about 1443.2938129668.

Adding to 3006521056 its reverse (6501256003), we get a palindrome (9507777059).

The spelling of 3006521056 in words is "three billion, six million, five hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 59 77 88 112 118 154 176 224 236 308 352 413 472 616 649 826 944 1232 1298 1652 1888 2464 2596 3304 4543 5192 6608 9086 10384 13216 18172 20681 20768 36344 41362 72688 82724 144767 145376 165448 227491 289534 330896 454982 579068 661792 909964 1158136 1220179 1592437 1819928 2316272 2440358 3184874 3639856 4632544 4880716 6369748 7279712 8541253 9761432 12739496 13421969 17082506 19522864 25478992 26843938 34165012 39045728 50957984 53687876 68330024 93953783 107375752 136660048 187907566 214751504 273320096 375815132 429503008 751630264 1503260528 3006521056