Search a number
-
+
30106816 = 2623113181
BaseRepresentation
bin111001011011…
…0010011000000
32002122120210021
41302312103000
530201404231
62553143224
7513621655
oct162662300
962576707
1030106816
1115aa3773
12a0bab14
1363117ac
143dd9c2c
15299a811
hex1cb64c0

30106816 has 56 divisors (see below), whose sum is σ = 63239904. Its totient is φ = 14192640.

The previous prime is 30106807. The next prime is 30106819. The reversal of 30106816 is 61860103.

It is not an unprimeable number, because it can be changed into a prime (30106819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166246 + ... + 166426.

It is an arithmetic number, because the mean of its divisors is an integer number (1129284).

Almost surely, 230106816 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 30106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31619952).

30106816 is an abundant number, since it is smaller than the sum of its proper divisors (33133088).

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

30106816 is a wasteful number, since it uses less digits than its factorization.

30106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 30106816 is about 5486.9678329657. The cubic root of 30106816 is about 311.0915939381.

Adding to 30106816 its reverse (61860103), we get a palindrome (91966919).

The spelling of 30106816 in words is "thirty million, one hundred six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 113 181 184 226 362 368 452 724 736 904 1448 1472 1808 2599 2896 3616 4163 5198 5792 7232 8326 10396 11584 16652 20453 20792 33304 40906 41584 66608 81812 83168 133216 163624 166336 266432 327248 470419 654496 940838 1308992 1881676 3763352 7526704 15053408 30106816