Search a number
-
+
3000142410 = 235373837057
BaseRepresentation
bin1011001011010010…
…1000101001001010
321202002022000200120
42302310220221022
522121014024120
61213411244110
7134226534606
oct26264505112
97662260616
103000142410
1112aa558441
126b88a9636
1338a7342c5
14206642506
151285c1140
hexb2d28a4a

3000142410 has 64 divisors (see below), whose sum is σ = 7415304192. Its totient is φ = 776272896.

The previous prime is 3000142381. The next prime is 3000142441. The reversal of 3000142410 is 142410003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3000142410.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421602 + ... + 428658.

It is an arithmetic number, because the mean of its divisors is an integer number (115864128).

Almost surely, 23000142410 is an apocalyptic number.

3000142410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000142410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707652096).

3000142410 is an abundant number, since it is smaller than the sum of its proper divisors (4415161782).

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

3000142410 is a wasteful number, since it uses less digits than its factorization.

3000142410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7487.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3000142410 is about 54773.5557545792. Note that the first 3 decimals coincide. The cubic root of 3000142410 is about 1442.2723911420.

Adding to 3000142410 its reverse (142410003), we get a palindrome (3142552413).

The spelling of 3000142410 in words is "three billion, one hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 383 555 766 1110 1149 1915 2298 3830 5745 7057 11490 14114 14171 21171 28342 35285 42342 42513 70570 70855 85026 105855 141710 211710 212565 261109 425130 522218 783327 1305545 1566654 2611090 2702831 3916635 5405662 7833270 8108493 13514155 16216986 27028310 40542465 81084930 100004747 200009494 300014241 500023735 600028482 1000047470 1500071205 3000142410