Search a number
-
+
515424420 = 2232571273221
BaseRepresentation
bin11110101110001…
…100000010100100
31022220212021101100
4132232030002210
52023422040140
6123051200100
715526015050
oct3656140244
91286767340
10515424420
11244a41aa5
12124746030
1382a25984
144c64cc60
15303b3530
hex1eb8c0a4

515424420 has 144 divisors (see below), whose sum is σ = 1801433088. Its totient is φ = 116847360.

The previous prime is 515424409. The next prime is 515424493. The reversal of 515424420 is 24424515.

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 47 ways as a sum of consecutive naturals, for example, 158410 + ... + 161630.

It is an arithmetic number, because the mean of its divisors is an integer number (12509952).

Almost surely, 2515424420 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 515424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900716544).

515424420 is an abundant number, since it is smaller than the sum of its proper divisors (1286008668).

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

515424420 is a wasteful number, since it uses less digits than its factorization.

515424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 515424420 is about 22702.9605998865. The cubic root of 515424420 is about 801.7795904702.

Adding to 515424420 its reverse (24424515), we get a palindrome (539848935).

The spelling of 515424420 in words is "five hundred fifteen million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 127 140 180 210 252 254 315 381 420 508 630 635 762 889 1143 1260 1270 1524 1778 1905 2286 2540 2667 3221 3556 3810 4445 4572 5334 5715 6442 7620 8001 8890 9663 10668 11430 12884 13335 16002 16105 17780 19326 22547 22860 26670 28989 32004 32210 38652 40005 45094 48315 53340 57978 64420 67641 80010 90188 96630 112735 115956 135282 144945 160020 193260 202923 225470 270564 289890 338205 405846 409067 450940 579780 676410 811692 818134 1014615 1227201 1352820 1636268 2029230 2045335 2454402 2863469 3681603 4058460 4090670 4908804 5726938 6136005 7363206 8181340 8590407 11453876 12272010 14317345 14726412 17180814 18408015 24544020 25771221 28634690 34361628 36816030 42952035 51542442 57269380 73632060 85904070 103084884 128856105 171808140 257712210 515424420