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450330540 = 22351135639
BaseRepresentation
bin11010110101110…
…111111110101100
31011101101011100220
4122311313332230
51410241034130
6112404051340
714105514012
oct3265677654
91141334326
10450330540
11211222000
12106993b50
13723b429a
1443b468b2
1529806410
hex1ad77fac

450330540 has 96 divisors (see below), whose sum is σ = 1387169280. Its totient is φ = 109151680.

The previous prime is 450330499. The next prime is 450330541. The reversal of 450330540 is 45033054.

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 450330540.

It is not an unprimeable number, because it can be changed into a prime (450330541) 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, 77041 + ... + 82679.

It is an arithmetic number, because the mean of its divisors is an integer number (14449680).

Almost surely, 2450330540 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 450330540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693584640).

450330540 is an abundant number, since it is smaller than the sum of its proper divisors (936838740).

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

450330540 is a wasteful number, since it uses less digits than its factorization.

450330540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 450330540 is about 21220.9929079673. The cubic root of 450330540 is about 766.4970130802.

Adding to 450330540 its reverse (45033054), we get a palindrome (495363594).

The spelling of 450330540 in words is "four hundred fifty million, three hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1331 1452 1815 2420 2662 3630 3993 5324 5639 6655 7260 7986 11278 13310 15972 16917 19965 22556 26620 28195 33834 39930 56390 62029 67668 79860 84585 112780 124058 169170 186087 248116 310145 338340 372174 620290 682319 744348 930435 1240580 1364638 1860870 2046957 2729276 3411595 3721740 4093914 6823190 7505509 8187828 10234785 13646380 15011018 20469570 22516527 30022036 37527545 40939140 45033054 75055090 90066108 112582635 150110180 225165270 450330540