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541030536 = 233347137389
BaseRepresentation
bin100000001111110…
…111100010001000
31101201001012101000
4200033313202020
52102000434121
6125404055000
716256453334
oct4017674210
91351035330
10541030536
11258441282
12131234460
138811ca17
1451bd67c4
1532770526
hex203f7888

541030536 has 128 divisors (see below), whose sum is σ = 1550016000. Its totient is φ = 174767616.

The previous prime is 541030513. The next prime is 541030549. The reversal of 541030536 is 635030145.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1390630 + ... + 1391018.

It is an arithmetic number, because the mean of its divisors is an integer number (12109500).

Almost surely, 2541030536 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 541030536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775008000).

541030536 is an abundant number, since it is smaller than the sum of its proper divisors (1008985464).

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

541030536 is a wasteful number, since it uses less digits than its factorization.

541030536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 541030536 is about 23260.0631125541. The cubic root of 541030536 is about 814.8429752559.

The spelling of 541030536 in words is "five hundred forty-one million, thirty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 137 141 188 216 274 282 376 389 411 423 548 564 778 822 846 1096 1128 1167 1233 1269 1556 1644 1692 2334 2466 2538 3112 3288 3384 3501 3699 4668 4932 5076 6439 7002 7398 9336 9864 10152 10503 12878 14004 14796 18283 19317 21006 25756 28008 29592 36566 38634 42012 51512 53293 54849 57951 73132 77268 84024 106586 109698 115902 146264 154536 159879 164547 173853 213172 219396 231804 319758 329094 347706 426344 438792 463608 479637 493641 639516 658188 695412 959274 987282 1279032 1316376 1390824 1438911 1918548 1974564 2504771 2877822 3837096 3949128 5009542 5755644 7514313 10019084 11511288 15028626 20038168 22542939 30057252 45085878 60114504 67628817 90171756 135257634 180343512 270515268 541030536