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4030005540 = 22351137916111
BaseRepresentation
bin1111000000110101…
…0000000100100100
3101101212011111022110
43300031100010210
531223140134130
61503521001020
7201603324201
oct36015200444
911355144273
104030005540
1117889188a0
12945783170
134c2bc9082
142a3324ca8
15188c00ab0
hexf0350124

4030005540 has 96 divisors (see below), whose sum is σ = 12343080960. Its totient is φ = 974332800.

The previous prime is 4030005527. The next prime is 4030005589. The reversal of 4030005540 is 455000304.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 242085 + ... + 258195.

It is an arithmetic number, because the mean of its divisors is an integer number (128573760).

Almost surely, 24030005540 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 4030005540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171540480).

4030005540 is an abundant number, since it is smaller than the sum of its proper divisors (8313075420).

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

4030005540 is a wasteful number, since it uses less digits than its factorization.

4030005540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16513 (or 16511 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 4030005540 is about 63482.3246266234. The cubic root of 4030005540 is about 1591.3604036829.

Adding to 4030005540 its reverse (455000304), we get a palindrome (4485005844).

The spelling of 4030005540 in words is "four billion, thirty million, five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 379 660 758 1137 1516 1895 2274 3790 4169 4548 5685 7580 8338 11370 12507 16111 16676 20845 22740 25014 32222 41690 48333 50028 62535 64444 80555 83380 96666 125070 161110 177221 193332 241665 250140 322220 354442 483330 531663 708884 886105 966660 1063326 1772210 2126652 2658315 3544420 5316630 6106069 10633260 12212138 18318207 24424276 30530345 36636414 61060690 67166759 73272828 91591035 122121380 134333518 183182070 201500277 268667036 335833795 366364140 403000554 671667590 806001108 1007501385 1343335180 2015002770 4030005540