Search a number
-
+
30686656 = 2671113479
BaseRepresentation
bin111010100001…
…1110111000000
32010202001011211
41311003313000
530323433111
63013415504
7521555320
oct165036700
963661154
1030686656
111635a380
12a33a594
1364856b0
14410b280
152a62521
hex1d43dc0

30686656 has 112 divisors (see below), whose sum is σ = 81930240. Its totient is φ = 11013120.

The previous prime is 30686651. The next prime is 30686657. The reversal of 30686656 is 65668603.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30686651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63825 + ... + 64303.

It is an arithmetic number, because the mean of its divisors is an integer number (731520).

Almost surely, 230686656 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 30686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965120).

30686656 is an abundant number, since it is smaller than the sum of its proper divisors (51243584).

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

30686656 is a wasteful number, since it uses less digits than its factorization.

30686656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 30686656 is about 5539.5537726427. The cubic root of 30686656 is about 313.0760566023.

It can be divided in two parts, 30 and 686656, that added together give a palindrome (686686).

The spelling of 30686656 in words is "thirty million, six hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 448 479 572 616 704 728 832 958 1001 1144 1232 1456 1916 2002 2288 2464 2912 3353 3832 4004 4576 4928 5269 5824 6227 6706 7664 8008 9152 10538 12454 13412 15328 16016 21076 24908 26824 30656 32032 36883 42152 43589 49816 53648 64064 68497 73766 84304 87178 99632 107296 136994 147532 168608 174356 199264 214592 273988 295064 337216 348712 398528 479479 547976 590128 697424 958958 1095952 1180256 1394848 1917916 2191904 2360512 2789696 3835832 4383808 7671664 15343328 30686656