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30689568 = 25327131171
BaseRepresentation
bin111010100010…
…0100100100000
32010202012011200
41311010210200
530324031233
63013441200
7521566650
oct165044440
963665150
1030689568
1116361588
12a340200
136486b10
14410c360
152a63313
hex1d44920

30689568 has 144 divisors (see below), whose sum is σ = 107505216. Its totient is φ = 8087040.

The previous prime is 30689563. The next prime is 30689587. The reversal of 30689568 is 86598603.

30689568 is a `hidden beast` number, since 3 + 0 + 6 + 89 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (30689563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25623 + ... + 26793.

It is an arithmetic number, because the mean of its divisors is an integer number (746564).

Almost surely, 230689568 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 30689568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53752608).

30689568 is an abundant number, since it is smaller than the sum of its proper divisors (76815648).

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

30689568 is a wasteful number, since it uses less digits than its factorization.

30689568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 30689568 is about 5539.8166034626. The cubic root of 30689568 is about 313.0859593718.

The spelling of 30689568 in words is "thirty million, six hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1171 1248 1456 1638 1872 2016 2184 2342 2912 3276 3513 3744 4368 4684 6552 7026 8197 8736 9368 10539 13104 14052 15223 16394 18736 21078 24591 26208 28104 30446 32788 37472 42156 45669 49182 56208 60892 65576 73773 84312 91338 98364 106561 112416 121784 131152 137007 147546 168624 182676 196728 213122 243568 262304 274014 295092 319683 337248 365352 393456 426244 487136 548028 590184 639366 730704 786912 852488 959049 1096056 1180368 1278732 1461408 1704976 1918098 2192112 2360736 2557464 3409952 3836196 4384224 5114928 7672392 10229856 15344784 30689568