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30896112 = 2431367739
BaseRepresentation
bin111010111011…
…0111111110000
32011010200111110
41311312333300
530402133422
63022113320
7523420062
oct165667760
964120443
1030896112
1116492785
12a41b840
136529b30
144163732
152aa460c
hex1d76ff0

30896112 has 80 divisors (see below), whose sum is σ = 87355520. Its totient is φ = 9351936.

The previous prime is 30896111. The next prime is 30896137. The reversal of 30896112 is 21169803.

It is a self number, because there is not a number n which added to its sum of digits gives 30896112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30896111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41439 + ... + 42177.

It is an arithmetic number, because the mean of its divisors is an integer number (1091944).

Almost surely, 230896112 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 30896112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43677760).

30896112 is an abundant number, since it is smaller than the sum of its proper divisors (56459408).

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

30896112 is a wasteful number, since it uses less digits than its factorization.

30896112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 30896112 is about 5558.4271156506. The cubic root of 30896112 is about 313.7867566446.

The spelling of 30896112 in words is "thirty million, eight hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 312 402 536 624 739 804 871 1072 1478 1608 1742 2217 2613 2956 3216 3484 4434 5226 5912 6968 8868 9607 10452 11824 13936 17736 19214 20904 28821 35472 38428 41808 49513 57642 76856 99026 115284 148539 153712 198052 230568 297078 396104 461136 594156 643669 792208 1188312 1287338 1931007 2376624 2574676 3862014 5149352 7724028 10298704 15448056 30896112