Search a number
-
+
3005245530 = 233571590077
BaseRepresentation
bin1011001100100000…
…0110100001011010
321202102220021212000
42303020012201122
522123320324110
61214112501430
7134321110530
oct26310064132
97672807760
103005245530
1113024234a1
126ba54a876
1338b7cccc1
142071b0150
15128c7d1c0
hexb320685a

3005245530 has 64 divisors (see below), whose sum is σ = 9158849280. Its totient is φ = 686912832.

The previous prime is 3005245519. The next prime is 3005245543. The reversal of 3005245530 is 355425003.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3005245494 and 3005245503.

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 31 ways as a sum of consecutive naturals, for example, 793149 + ... + 796928.

It is an arithmetic number, because the mean of its divisors is an integer number (143107020).

Almost surely, 23005245530 is an apocalyptic number.

3005245530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3005245530 is an abundant number, since it is smaller than the sum of its proper divisors (6153603750).

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

3005245530 is a wasteful number, since it uses less digits than its factorization.

3005245530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590100 (or 1590094 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 3005245530 is about 54820.1197554329. The cubic root of 3005245530 is about 1443.0896767847.

The spelling of 3005245530 in words is "three billion, five million, two hundred forty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 1590077 3180154 4770231 7950385 9540462 11130539 14310693 15900770 22261078 23851155 28621386 33391617 42932079 47702310 55652695 66783234 71553465 85864158 100174851 111305390 143106930 166958085 200349702 214660395 300524553 333916170 429320790 500874255 601049106 1001748510 1502622765 3005245530