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30009056 = 2571119641
BaseRepresentation
bin111001001111…
…0011011100000
32002110121200112
41302132123200
530140242211
62551110452
7513033650
oct162363340
962417615
1030009056
1115a37280
12a072428
1362a914c
143db2360
15297b88b
hex1c9e6e0

30009056 has 96 divisors (see below), whose sum is σ = 77656320. Its totient is φ = 11059200.

The previous prime is 30008989. The next prime is 30009061. The reversal of 30009056 is 65090003.

It is a super-2 number, since 2×300090562 = 1801086884022272, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 46496 + ... + 47136.

It is an arithmetic number, because the mean of its divisors is an integer number (808920).

Almost surely, 230009056 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 30009056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38828160).

30009056 is an abundant number, since it is smaller than the sum of its proper divisors (47647264).

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

30009056 is a wasteful number, since it uses less digits than its factorization.

30009056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 30009056 is about 5478.0522085866. The cubic root of 30009056 is about 310.7545131139.

Adding to 30009056 its reverse (65090003), we get a palindrome (95099059).

The spelling of 30009056 in words is "thirty million, nine thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 532 608 616 641 836 1064 1232 1282 1463 1672 2128 2464 2564 2926 3344 4256 4487 5128 5852 6688 7051 8974 10256 11704 12179 14102 17948 20512 23408 24358 28204 35896 46816 48716 49357 56408 71792 85253 97432 98714 112816 133969 143584 170506 194864 197428 225632 267938 341012 389728 394856 535876 682024 789712 937783 1071752 1364048 1579424 1875566 2143504 2728096 3751132 4287008 7502264 15004528 30009056