Search a number
-
+
30894528 = 2637127181
BaseRepresentation
bin111010111011…
…0100111000000
32011010121022210
41311312213000
530402111103
63022102120
7523412340
oct165664700
964117283
1030894528
1116491575
12a41a940
1365291b2
144162d20
152aa3e03
hex1d769c0

30894528 has 112 divisors (see below), whose sum is σ = 94674944. Its totient is φ = 8709120.

The previous prime is 30894517. The next prime is 30894533. The reversal of 30894528 is 82549803.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 170598 + ... + 170778.

It is an arithmetic number, because the mean of its divisors is an integer number (845312).

Almost surely, 230894528 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 30894528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47337472).

30894528 is an abundant number, since it is smaller than the sum of its proper divisors (63780416).

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

30894528 is a wasteful number, since it uses less digits than its factorization.

30894528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 30894528 is about 5558.2846274728. The cubic root of 30894528 is about 313.7813940851.

The spelling of 30894528 in words is "thirty million, eight hundred ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 168 181 192 224 254 336 362 381 448 508 543 672 724 762 889 1016 1086 1267 1344 1448 1524 1778 2032 2172 2534 2667 2896 3048 3556 3801 4064 4344 5068 5334 5792 6096 7112 7602 8128 8688 10136 10668 11584 12192 14224 15204 17376 20272 21336 22987 24384 28448 30408 34752 40544 42672 45974 56896 60816 68961 81088 85344 91948 121632 137922 160909 170688 183896 243264 275844 321818 367792 482727 551688 643636 735584 965454 1103376 1287272 1471168 1930908 2206752 2574544 3861816 4413504 5149088 7723632 10298176 15447264 30894528