Search a number
-
+
30690168 = 233171937107
BaseRepresentation
bin111010100010…
…0101101111000
32010202012222220
41311010231320
530324041133
63013444040
7521601465
oct165045570
963665886
1030690168
1116361a83
12a340620
136487182
14410c66c
152a635b3
hex1d44b78

30690168 has 128 divisors (see below), whose sum is σ = 88646400. Its totient is φ = 8792064.

The previous prime is 30690167. The next prime is 30690199. The reversal of 30690168 is 86109603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30690167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286771 + ... + 286877.

It is an arithmetic number, because the mean of its divisors is an integer number (692550).

Almost surely, 230690168 is an apocalyptic number.

30690168 is a gapful number since it is divisible by the number (38) 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 30690168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44323200).

30690168 is an abundant number, since it is smaller than the sum of its proper divisors (57956232).

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

30690168 is a wasteful number, since it uses less digits than its factorization.

30690168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 30690168 is about 5539.8707566152. The cubic root of 30690168 is about 313.0879996997.

The spelling of 30690168 in words is "thirty million, six hundred ninety thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 37 38 51 57 68 74 76 102 107 111 114 136 148 152 204 214 222 228 296 321 323 408 428 444 456 629 642 646 703 856 888 969 1258 1284 1292 1406 1819 1887 1938 2033 2109 2516 2568 2584 2812 3638 3774 3876 3959 4066 4218 5032 5457 5624 6099 7276 7548 7752 7918 8132 8436 10914 11877 11951 12198 14552 15096 15836 16264 16872 21828 23754 23902 24396 31672 34561 35853 43656 47508 47804 48792 67303 69122 71706 75221 95016 95608 103683 134606 138244 143412 150442 201909 207366 225663 269212 276488 286824 300884 403818 414732 451326 538424 601768 807636 829464 902652 1278757 1615272 1805304 2557514 3836271 5115028 7672542 10230056 15345084 30690168