Search a number
-
+
540687700 = 22527977963
BaseRepresentation
bin100000001110100…
…011110101010100
31101200101210002101
4200032203311110
52101404001300
6125352451444
716253524660
oct4016436524
91350353071
10540687700
11258227743
121310a9b84
138802c967
1451b478a0
1532703b6a
hex203a3d54

540687700 has 72 divisors (see below), whose sum is σ = 1354899392. Its totient is φ = 183444480.

The previous prime is 540687683. The next prime is 540687743. The reversal of 540687700 is 7786045.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 540687700.

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 23 ways as a sum of consecutive naturals, for example, 63919 + ... + 71881.

Almost surely, 2540687700 is an apocalyptic number.

540687700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540687700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677449696).

540687700 is an abundant number, since it is smaller than the sum of its proper divisors (814211692).

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

540687700 is a wasteful number, since it uses less digits than its factorization.

540687700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8081 (or 8074 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 540687700 is about 23252.6923172350. The cubic root of 540687700 is about 814.6708244465.

The spelling of 540687700 in words is "five hundred forty million, six hundred eighty-seven thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 194 350 388 485 679 700 970 1358 1940 2425 2716 3395 4850 6790 7963 9700 13580 15926 16975 31852 33950 39815 55741 67900 79630 111482 159260 199075 222964 278705 398150 557410 772411 796300 1114820 1393525 1544822 2787050 3089644 3862055 5406877 5574100 7724110 10813754 15448220 19310275 21627508 27034385 38620550 54068770 77241100 108137540 135171925 270343850 540687700