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30686016 = 263181883
BaseRepresentation
bin111010100001…
…1101101000000
32010202000022010
41311003231000
530323423031
63013412520
7521553414
oct165035500
963660263
1030686016
1116359949
12a33a140
13648530a
14410ad44
152a62246
hex1d43b40

30686016 has 56 divisors (see below), whose sum is σ = 81731104. Its totient is φ = 10160640.

The previous prime is 30686011. The next prime is 30686021. The reversal of 30686016 is 61068603.

It is an interprime number because it is at equal distance from previous prime (30686011) and next prime (30686021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30686011) 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, 34311 + ... + 35193.

It is an arithmetic number, because the mean of its divisors is an integer number (1459484).

Almost surely, 230686016 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 30686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40865552).

30686016 is an abundant number, since it is smaller than the sum of its proper divisors (51045088).

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

30686016 is a wasteful number, since it uses less digits than its factorization.

30686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30686016 is about 5539.4960059558. The cubic root of 30686016 is about 313.0738800855.

The spelling of 30686016 in words is "thirty million, six hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 543 724 883 1086 1448 1766 2172 2649 2896 3532 4344 5298 5792 7064 8688 10596 11584 14128 17376 21192 28256 34752 42384 56512 84768 159823 169536 319646 479469 639292 958938 1278584 1917876 2557168 3835752 5114336 7671504 10228672 15343008 30686016