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541320540 = 2235411971117
BaseRepresentation
bin100000010000111…
…110010101011100
31101201120221011220
4200100332111130
52102034224130
6125414213340
716262101665
oct4020762534
91351527156
10541320540
1125861a152
12131354250
13881c1a17
1451c7036c
15327cb410
hex2043e55c

541320540 has 96 divisors (see below), whose sum is σ = 1561944384. Its totient is φ = 139991040.

The previous prime is 541320497. The next prime is 541320557. The reversal of 541320540 is 45023145.

It is a self number, because there is not a number n which added to its sum of digits gives 541320540.

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 31 ways as a sum of consecutive naturals, for example, 484062 + ... + 485178.

It is an arithmetic number, because the mean of its divisors is an integer number (16270254).

Almost surely, 2541320540 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 541320540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780972192).

541320540 is an abundant number, since it is smaller than the sum of its proper divisors (1020623844).

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

541320540 is a wasteful number, since it uses less digits than its factorization.

541320540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 541320540 is about 23266.2962243671. The cubic root of 541320540 is about 814.9885403686.

Adding to 541320540 its reverse (45023145), we get a palindrome (586343685).

The spelling of 541320540 in words is "five hundred forty-one million, three hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 197 205 246 394 410 492 591 615 788 820 985 1117 1182 1230 1970 2234 2364 2460 2955 3351 3940 4468 5585 5910 6702 8077 11170 11820 13404 16154 16755 22340 24231 32308 33510 40385 45797 48462 67020 80770 91594 96924 121155 137391 161540 183188 220049 228985 242310 274782 440098 457970 484620 549564 660147 686955 880196 915940 1100245 1320294 1373910 2200490 2640588 2747820 3300735 4400980 6601470 9022009 13202940 18044018 27066027 36088036 45110045 54132054 90220090 108264108 135330135 180440180 270660270 541320540