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30109024 = 2511233719
BaseRepresentation
bin111001011011…
…0110101100000
32002122200211001
41302312311200
530201442044
62553201344
7513631261
oct162666540
962580731
1030109024
1115aa53a0
12a100254
1363127ba
143dda968
15299b2d4
hex1cb6d60

30109024 has 48 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 13087360.

The previous prime is 30109019. The next prime is 30109031. The reversal of 30109024 is 42090103.

It is a junction number, because it is equal to n+sod(n) for n = 30108992 and 30109010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6237 + ... + 9955.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 230109024 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 30109024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

30109024 is an abundant number, since it is smaller than the sum of its proper divisors (37386656).

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

30109024 is a wasteful number, since it uses less digits than its factorization.

30109024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 30109024 is about 5487.1690332994. The cubic root of 30109024 is about 311.0991987880.

Adding to 30109024 its reverse (42090103), we get a palindrome (72199127).

The spelling of 30109024 in words is "thirty million, one hundred nine thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 3719 4048 7438 8096 14876 29752 40909 59504 81818 85537 119008 163636 171074 327272 342148 654544 684296 940907 1309088 1368592 1881814 2737184 3763628 7527256 15054512 30109024