Search a number
-
+
541566740 = 2251113238233
BaseRepresentation
bin100000010001111…
…010011100010100
31101202001102220102
4200101322130110
52102120113430
6125423353232
716264145531
oct4021723424
91352042812
10541566740
11258778120
12131452818
1388279ac0
1451cd5d88
1532829345
hex2047a714

541566740 has 96 divisors (see below), whose sum is σ = 1394378496. Its totient is φ = 173859840.

The previous prime is 541566733. The next prime is 541566749. The reversal of 541566740 is 47665145.

It is a junction number, because it is equal to n+sod(n) for n = 541566694 and 541566703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541566749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61664 + ... + 69896.

It is an arithmetic number, because the mean of its divisors is an integer number (14524776).

Almost surely, 2541566740 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 541566740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697189248).

541566740 is an abundant number, since it is smaller than the sum of its proper divisors (852811756).

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

541566740 is a wasteful number, since it uses less digits than its factorization.

541566740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8289 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 541566740 is about 23271.5865380940. The cubic root of 541566740 is about 815.1120776273.

The spelling of 541566740 in words is "five hundred forty-one million, five hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 44 46 52 55 65 92 110 115 130 143 220 230 253 260 286 299 460 506 572 598 715 1012 1196 1265 1430 1495 2530 2860 2990 3289 5060 5980 6578 8233 13156 16445 16466 32890 32932 41165 65780 82330 90563 107029 164660 181126 189359 214058 362252 378718 428116 452815 535145 757436 905630 946795 1070290 1177319 1811260 1893590 2082949 2140580 2354638 2461667 3787180 4165898 4709276 4923334 5886595 8331796 9846668 10414745 11773190 12308335 20829490 23546380 24616670 27078337 41658980 49233340 54156674 108313348 135391685 270783370 541566740