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30561696 = 2532112877
BaseRepresentation
bin111010010010…
…1010110100000
32010111200202200
41310211112200
530310433241
63011013200
7520525104
oct164452640
963450680
1030561696
1116284500
12a29a200
136440859
1440b7904
152a3a4b6
hex1d255a0

30561696 has 108 divisors (see below), whose sum is σ = 95637906. Its totient is φ = 9250560.

The previous prime is 30561683. The next prime is 30561701. The reversal of 30561696 is 69616503.

30561696 is a `hidden beast` number, since 3 + 0 + 561 + 6 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21344400 + 9217296 = 4620^2 + 3036^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 30561696.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 34410 + ... + 35286.

Almost surely, 230561696 is an apocalyptic number.

30561696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30561696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47818953).

30561696 is an abundant number, since it is smaller than the sum of its proper divisors (65076210).

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

30561696 is a wasteful number, since it uses less digits than its factorization.

30561696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 30561696 is about 5528.2633801222. The cubic root of 30561696 is about 312.6505165050.

It can be divided in two parts, 305 and 61696, that added together give a square (62001 = 2492).

The spelling of 30561696 in words is "thirty million, five hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 877 968 1056 1089 1452 1584 1754 1936 2178 2631 2904 3168 3508 3872 4356 5262 5808 7016 7893 8712 9647 10524 11616 14032 15786 17424 19294 21048 28064 28941 31572 34848 38588 42096 57882 63144 77176 84192 86823 106117 115764 126288 154352 173646 212234 231528 252576 308704 318351 347292 424468 463056 636702 694584 848936 926112 955053 1273404 1389168 1697872 1910106 2546808 2778336 3395744 3820212 5093616 7640424 10187232 15280848 30561696