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3000415530 = 235729192221
BaseRepresentation
bin1011001011010110…
…1011010100101010
321202002210220100010
42302311223110222
522121101244110
61213421152350
7134232053100
oct26265532452
97662726303
103000415530
1112aa724662
126b89bb6b6
1338a7cb708
142066b3c70
15128627020
hexb2d6b52a

3000415530 has 96 divisors (see below), whose sum is σ = 8389560960. Its totient is φ = 684754560.

The previous prime is 3000415519. The next prime is 3000415531. The reversal of 3000415530 is 355140003.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3000415497 and 3000415506.

It is not an unprimeable number, because it can be changed into a prime (3000415531) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1349820 + ... + 1352040.

It is an arithmetic number, because the mean of its divisors is an integer number (87391260).

Almost surely, 23000415530 is an apocalyptic number.

3000415530 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 3000415530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194780480).

3000415530 is an abundant number, since it is smaller than the sum of its proper divisors (5389145430).

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

3000415530 is a wasteful number, since it uses less digits than its factorization.

3000415530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 3000415530 is about 54776.0488717469. The cubic root of 3000415530 is about 1442.3161558959.

Adding to 3000415530 its reverse (355140003), we get a palindrome (3355555533).

The spelling of 3000415530 in words is "three billion, four hundred fifteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 919 1470 1838 2221 2757 4442 4595 5514 6433 6663 9190 11105 12866 13326 13785 15547 19299 22210 27570 31094 32165 33315 38598 45031 46641 64330 66630 77735 90062 93282 96495 108829 135093 155470 192990 217658 225155 233205 270186 326487 450310 466410 544145 652974 675465 1088290 1350930 1632435 2041099 3264870 4082198 6123297 10205495 12246594 14287693 20410990 28575386 30616485 42863079 61232970 71438465 85726158 100013851 142876930 200027702 214315395 300041553 428630790 500069255 600083106 1000138510 1500207765 3000415530