Search a number
-
+
30000516 = 22371383331
BaseRepresentation
bin111001001110…
…0010110000100
32002110011222020
41302130112010
530140004031
62551003140
7513000030
oct162342604
962404866
1030000516
1115a30917
12a0694b0
1362a52b0
143dad1c0
152979096
hex1c9c584

30000516 has 96 divisors (see below), whose sum is σ = 87456768. Its totient is φ = 7793280.

The previous prime is 30000511. The next prime is 30000521. The reversal of 30000516 is 61500003.

It is an interprime number because it is at equal distance from previous prime (30000511) and next prime (30000521).

It is a junction number, because it is equal to n+sod(n) for n = 30000495 and 30000504.

It is not an unprimeable number, because it can be changed into a prime (30000511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90471 + ... + 90801.

It is an arithmetic number, because the mean of its divisors is an integer number (911008).

Almost surely, 230000516 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 30000516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43728384).

30000516 is an abundant number, since it is smaller than the sum of its proper divisors (57456252).

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

30000516 is a wasteful number, since it uses less digits than its factorization.

30000516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 30000516 is about 5477.2726789891. The cubic root of 30000516 is about 310.7250320651.

Adding to 30000516 its reverse (61500003), we get a palindrome (91500519).

The spelling of 30000516 in words is "thirty million, five hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 83 84 91 156 166 182 249 273 331 332 364 498 546 581 662 993 996 1079 1092 1162 1324 1743 1986 2158 2317 2324 3237 3486 3972 4303 4316 4634 6474 6951 6972 7553 8606 9268 12909 12948 13902 15106 17212 22659 25818 27473 27804 30121 30212 45318 51636 54946 60242 82419 90363 90636 109892 120484 164838 180726 192311 329676 357149 361452 384622 576933 714298 769244 1071447 1153866 1428596 2142894 2307732 2500043 4285788 5000086 7500129 10000172 15000258 30000516