Search a number
-
+
540766208 = 21247532
BaseRepresentation
bin100000001110110…
…111000000000000
31101200112202210002
4200032313000000
52101414004313
6125354255132
716254302603
oct4016670000
91350482702
10540766208
11258280724
121311274a8
1388059608
1451b6833a
153271c058
hex203b7000

540766208 has 78 divisors (see below), whose sum is σ = 1125639984. Its totient is φ = 259637248.

The previous prime is 540766199. The next prime is 540766217. The reversal of 540766208 is 802667045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540766199) and next prime (540766217).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10203110 + ... + 10203162.

Almost surely, 2540766208 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 540766208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562819992).

540766208 is an abundant number, since it is smaller than the sum of its proper divisors (584873776).

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

540766208 is an frugal number, since it uses more digits than its factorization.

540766208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 540766208 is about 23254.3804045603. The cubic root of 540766208 is about 814.7102526794.

The spelling of 540766208 in words is "five hundred forty million, seven hundred sixty-six thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 47 53 64 94 106 128 188 212 256 376 424 512 752 848 1024 1504 1696 2048 2491 2809 3008 3392 4096 4982 5618 6016 6784 9964 11236 12032 13568 19928 22472 24064 27136 39856 44944 48128 54272 79712 89888 96256 108544 132023 159424 179776 192512 217088 264046 318848 359552 528092 637696 719104 1056184 1275392 1438208 2112368 2550784 2876416 4224736 5101568 5752832 8449472 10203136 11505664 16898944 33797888 67595776 135191552 270383104 540766208