Search a number
-
+
3030002760 = 233531380671
BaseRepresentation
bin1011010010011010…
…0010110001001000
321211011111002101110
42310212202301020
522201140042020
61220355250320
7135041412201
oct26446426110
97734432343
103030002760
1113153a2a14
127068a99a0
1339398a855
1420a5b65a8
1512b01d8e0
hexb49a2c48

3030002760 has 64 divisors (see below), whose sum is σ = 9119162880. Its totient is φ = 805409280.

The previous prime is 3030002753. The next prime is 3030002813. The reversal of 3030002760 is 672000303.

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 15 ways as a sum of consecutive naturals, for example, 2776 + ... + 77895.

It is an arithmetic number, because the mean of its divisors is an integer number (142486920).

Almost surely, 23030002760 is an apocalyptic number.

3030002760 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 3030002760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559581440).

3030002760 is an abundant number, since it is smaller than the sum of its proper divisors (6089160120).

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

3030002760 is a wasteful number, since it uses less digits than its factorization.

3030002760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80998 (or 80994 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 3030002760 is about 55045.4608482843. The cubic root of 3030002760 is about 1447.0415716839.

The spelling of 3030002760 in words is "three billion, thirty million, two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 313 626 939 1252 1565 1878 2504 3130 3756 4695 6260 7512 9390 12520 18780 37560 80671 161342 242013 322684 403355 484026 645368 806710 968052 1210065 1613420 1936104 2420130 3226840 4840260 9680520 25250023 50500046 75750069 101000092 126250115 151500138 202000184 252500230 303000276 378750345 505000460 606000552 757500690 1010000920 1515001380 3030002760