Search a number
-
+
540225345 = 351137107827
BaseRepresentation
bin100000001100110…
…010111101000001
31101122112021212010
4200030302331001
52101244202340
6125334523133
716246561002
oct4014627501
91348467763
10540225345
11257a41330
12130b064a9
1387bca38a
1451a671a9
1532661b80
hex20332f41

540225345 has 64 divisors (see below), whose sum is σ = 978656256. Its totient is φ = 252161280.

The previous prime is 540225341. The next prime is 540225353. The reversal of 540225345 is 543522045.

It is not a de Polignac number, because 540225345 - 22 = 540225341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540225341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 652822 + ... + 653648.

It is an arithmetic number, because the mean of its divisors is an integer number (15291504).

Almost surely, 2540225345 is an apocalyptic number.

540225345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540225345 is a deficient number, since it is larger than the sum of its proper divisors (438430911).

540225345 is a wasteful number, since it uses less digits than its factorization.

540225345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990.

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 540225345 is about 23242.7482239085. The cubic root of 540225345 is about 814.4385433806.

The spelling of 540225345 in words is "five hundred forty million, two hundred twenty-five thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 37 55 107 111 165 185 321 407 535 555 827 1177 1221 1605 2035 2481 3531 3959 4135 5885 6105 9097 11877 12405 17655 19795 27291 30599 43549 45485 59385 88489 91797 130647 136455 152995 217745 265467 336589 442445 458985 653235 973379 1009767 1327335 1682945 2920137 3274093 4866895 5048835 9822279 14600685 16370465 36015023 49111395 108045069 180075115 540225345