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514230480 = 243253123039
BaseRepresentation
bin11110101001101…
…000100011010000
31022211121121121100
4132221220203100
52023120333410
6123005424400
715512613141
oct3651504320
91284547540
10514230480
112442a6a75
1212426b100
13826c83ba
144c41bac8
15302298c0
hex1ea688d0

514230480 has 120 divisors (see below), whose sum is σ = 1782743040. Its totient is φ = 132698880.

The previous prime is 514230443. The next prime is 514230533. The reversal of 514230480 is 84032415.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5142304802 = 528865973122060800, which contains 22 as substring.

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, 10801 + ... + 33839.

It is an arithmetic number, because the mean of its divisors is an integer number (14856192).

Almost surely, 2514230480 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 514230480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891371520).

514230480 is an abundant number, since it is smaller than the sum of its proper divisors (1268512560).

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

514230480 is a wasteful number, since it uses less digits than its factorization.

514230480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23089 (or 23080 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 514230480 is about 22676.6505463219. The cubic root of 514230480 is about 801.1600254465.

Adding to 514230480 its reverse (84032415), we get a palindrome (598262895).

The spelling of 514230480 in words is "five hundred fourteen million, two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 23039 46078 69117 92156 115195 138234 184312 207351 230390 276468 345585 368624 414702 460780 552936 691170 714209 829404 921560 1036755 1105872 1382340 1428418 1658808 1843120 2073510 2142627 2764680 2856836 3317616 3571045 4147020 4285254 5529360 5713672 6427881 7142090 8294040 8570508 10713135 11427344 12855762 14284180 16588080 17141016 21426270 25711524 28568360 32139405 34282032 42852540 51423048 57136720 64278810 85705080 102846096 128557620 171410160 257115240 514230480