Search a number
-
+
30024210 = 2351723463
BaseRepresentation
bin111001010001…
…0001000010010
32002111101110210
41302202020102
530141233320
62551304550
7513126066
oct162421022
962441423
1030024210
1115a476a7
12a07b156
1362b3008
143db7aa6
1529810e0
hex1ca2212

30024210 has 48 divisors (see below), whose sum is σ = 76568256. Its totient is φ = 7533312.

The previous prime is 30024173. The next prime is 30024221. The reversal of 30024210 is 1242003.

It is a super-2 number, since 2×300242102 = 1802906372248200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6939 + ... + 10401.

It is an arithmetic number, because the mean of its divisors is an integer number (1595172).

Almost surely, 230024210 is an apocalyptic number.

30024210 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 30024210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38284128).

30024210 is an abundant number, since it is smaller than the sum of its proper divisors (46544046).

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

30024210 is a wasteful number, since it uses less digits than its factorization.

30024210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 30024210 is about 5479.4351898713. The cubic root of 30024210 is about 310.8068126756.

Adding to 30024210 its reverse (1242003), we get a palindrome (31266213).

The spelling of 30024210 in words is "thirty million, twenty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 3463 4335 6926 8670 10389 17315 20778 34630 51945 58871 103890 117742 176613 294355 353226 588710 883065 1000807 1766130 2001614 3002421 5004035 6004842 10008070 15012105 30024210