Search a number
-
+
30000520 = 23511411663
BaseRepresentation
bin111001001110…
…0010110001000
32002110011222101
41302130112020
530140004040
62551003144
7513000034
oct162342610
962404871
1030000520
1115a30920
12a0694b4
1362a52b4
143dad1c4
15297909a
hex1c9c588

30000520 has 64 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 10636800.

The previous prime is 30000511. The next prime is 30000521. The reversal of 30000520 is 2500003.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 30000497 and 30000506.

It is not an unprimeable number, because it can be changed into a prime (30000521) 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 15 ways as a sum of consecutive naturals, for example, 17209 + ... + 18871.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 230000520 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 30000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

30000520 is an abundant number, since it is smaller than the sum of its proper divisors (45478520).

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

30000520 is a wasteful number, since it uses less digits than its factorization.

30000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 30000520 is about 5477.2730441343. The cubic root of 30000520 is about 310.7250458749.

Adding to 30000520 its reverse (2500003), we get a palindrome (32500523).

The spelling of 30000520 in words is "thirty million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1663 1804 2255 3326 3608 4510 6652 8315 9020 13304 16630 18040 18293 33260 36586 66520 68183 73172 91465 136366 146344 182930 272732 340915 365860 545464 681830 731720 750013 1363660 1500026 2727320 3000052 3750065 6000104 7500130 15000260 30000520