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30986208 = 2532119781
BaseRepresentation
bin111011000110…
…0111111100000
32011022021002100
41312030333200
530413024313
63024050400
7524243541
oct166147740
964267070
1030986208
1116544440
12a463a00
13655bb46
1441884c8
152ac1173
hex1d8cfe0

30986208 has 72 divisors (see below), whose sum is σ = 96137496. Its totient is φ = 9388800.

The previous prime is 30986191. The next prime is 30986209. The reversal of 30986208 is 80268903.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30986209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1723 + ... + 8058.

It is an arithmetic number, because the mean of its divisors is an integer number (1335243).

Almost surely, 230986208 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 30986208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48068748).

30986208 is an abundant number, since it is smaller than the sum of its proper divisors (65151288).

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

30986208 is a wasteful number, since it uses less digits than its factorization.

30986208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9808 (or 9797 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 30986208 is about 5566.5256668770. The cubic root of 30986208 is about 314.0914713157.

The spelling of 30986208 in words is "thirty million, nine hundred eighty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 9781 19562 29343 39124 58686 78248 88029 107591 117372 156496 176058 215182 234744 312992 322773 352116 430364 469488 645546 704232 860728 938976 968319 1291092 1408464 1721456 1936638 2582184 2816928 3442912 3873276 5164368 7746552 10328736 15493104 30986208