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30123024 = 243837561
BaseRepresentation
bin111001011101…
…0010000010000
32002200102000120
41302322100100
530202414044
62553350240
7514020141
oct162722020
962612016
1030123024
1116004968
12a108380
136318c99
144001ac8
1529a0519
hex1cba410

30123024 has 40 divisors (see below), whose sum is σ = 78765792. Its totient is φ = 9918720.

The previous prime is 30123019. The next prime is 30123047. The reversal of 30123024 is 42032103.

It is a junction number, because it is equal to n+sod(n) for n = 30122994 and 30123012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204 + ... + 7764.

Almost surely, 230123024 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 30123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39382896).

30123024 is an abundant number, since it is smaller than the sum of its proper divisors (48642768).

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

30123024 is a wasteful number, since it uses less digits than its factorization.

30123024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7655 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30123024 is about 5488.4445884057. Note that the first 3 decimals coincide. The cubic root of 30123024 is about 311.1474092947.

Adding to 30123024 its reverse (42032103), we get a palindrome (72155127).

The spelling of 30123024 in words is "thirty million, one hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 7561 15122 22683 30244 45366 60488 90732 120976 181464 362928 627563 1255126 1882689 2510252 3765378 5020504 7530756 10041008 15061512 30123024