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30105372 = 223111311741
BaseRepresentation
bin111001011010…
…1111100011100
32002122111210210
41302311330130
530201332442
62553132420
7513614523
oct162657434
962574723
1030105372
1115aa2680
12a0ba110
136310c3b
143dd94ba
15299a19c
hex1cb5f1c

30105372 has 48 divisors (see below), whose sum is σ = 77261184. Its totient is φ = 9048000.

The previous prime is 30105353. The next prime is 30105389. The reversal of 30105372 is 27350103.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16422 + ... + 18162.

It is an arithmetic number, because the mean of its divisors is an integer number (1609608).

Almost surely, 230105372 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 30105372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38630592).

30105372 is an abundant number, since it is smaller than the sum of its proper divisors (47155812).

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

30105372 is a wasteful number, since it uses less digits than its factorization.

30105372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 30105372 is about 5486.8362468731. The cubic root of 30105372 is about 311.0866202754.

Adding to 30105372 its reverse (27350103), we get a palindrome (57455475).

The spelling of 30105372 in words is "thirty million, one hundred five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 1741 2882 3482 4323 5223 5764 6964 8646 10446 17292 19151 20892 38302 57453 76604 114906 228071 229812 456142 684213 912284 1368426 2508781 2736852 5017562 7526343 10035124 15052686 30105372