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30024420 = 2235836029
BaseRepresentation
bin111001010001…
…0001011100100
32002111101202120
41302202023210
530141240140
62551305540
7513126516
oct162421344
962441676
1030024420
1115a47878
12a07b2b0
1362b313a
143db7bb6
1529811d0
hex1ca22e4

30024420 has 48 divisors (see below), whose sum is σ = 85095360. Its totient is φ = 7908736.

The previous prime is 30024403. The next prime is 30024433. The reversal of 30024420 is 2442003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30024420.

It is an unprimeable number.

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, 1966 + ... + 7994.

It is an arithmetic number, because the mean of its divisors is an integer number (1772820).

Almost surely, 230024420 is an apocalyptic number.

30024420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42547680).

30024420 is an abundant number, since it is smaller than the sum of its proper divisors (55070940).

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

30024420 is a wasteful number, since it uses less digits than its factorization.

30024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 30024420 is about 5479.4543523968. The cubic root of 30024420 is about 310.8075373051.

Adding to 30024420 its reverse (2442003), we get a palindrome (32466423).

The spelling of 30024420 in words is "thirty million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 6029 12058 18087 24116 30145 36174 60290 72348 90435 120580 180870 361740 500407 1000814 1501221 2001628 2502035 3002442 5004070 6004884 7506105 10008140 15012210 30024420