Search a number
-
+
540314250 = 23537971061
BaseRepresentation
bin100000001101001…
…000101010001010
31101122200210210220
4200031020222022
52101310024000
6125340450510
716250411130
oct4015105212
91348623726
10540314250
11257aa2103
12130b49a36
1387c2b998
1451a8b750
153267d1a0
hex20348a8a

540314250 has 128 divisors (see below), whose sum is σ = 1558642176. Its totient is φ = 122112000.

The previous prime is 540314249. The next prime is 540314251. The reversal of 540314250 is 52413045.

It is an interprime number because it is at equal distance from previous prime (540314249) and next prime (540314251).

It is a self number, because there is not a number n which added to its sum of digits gives 540314250.

It is not an unprimeable number, because it can be changed into a prime (540314251) 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, 508720 + ... + 509780.

It is an arithmetic number, because the mean of its divisors is an integer number (12176892).

Almost surely, 2540314250 is an apocalyptic number.

540314250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540314250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779321088).

540314250 is an abundant number, since it is smaller than the sum of its proper divisors (1018327926).

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

540314250 is a wasteful number, since it uses less digits than its factorization.

540314250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 540314250 is about 23244.6606772394. The cubic root of 540314250 is about 814.4832183715.

Adding to 540314250 its reverse (52413045), we get a palindrome (592727295).

The spelling of 540314250 in words is "five hundred forty million, three hundred fourteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 97 105 125 150 175 194 210 250 291 350 375 485 525 582 679 750 875 970 1050 1061 1358 1455 1750 2037 2122 2425 2625 2910 3183 3395 4074 4850 5250 5305 6366 6790 7275 7427 10185 10610 12125 14550 14854 15915 16975 20370 22281 24250 26525 31830 33950 36375 37135 44562 50925 53050 72750 74270 79575 84875 101850 102917 111405 132625 159150 169750 185675 205834 222810 254625 265250 308751 371350 397875 509250 514585 557025 617502 720419 795750 928375 1029170 1114050 1440838 1543755 1856750 2161257 2572925 2785125 3087510 3602095 4322514 5145850 5570250 7204190 7718775 10806285 12864625 15437550 18010475 21612570 25729250 36020950 38593875 54031425 77187750 90052375 108062850 180104750 270157125 540314250