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514024420 = 225713299739
BaseRepresentation
bin11110101000110…
…110001111100100
31022211020010221111
4132220312033210
52023042240140
6123001154404
715511064320
oct3650661744
91284203844
10514024420
11244176178
1212418ba04
1382655680
144c3a6980
15301d87ea
hex1ea363e4

514024420 has 96 divisors (see below), whose sum is σ = 1374508800. Its totient is φ = 157054464.

The previous prime is 514024403. The next prime is 514024439. The reversal of 514024420 is 24420415.

It is a happy number.

It is a super-2 number, since 2×5140244202 = 528442208712672800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 514024391 and 514024400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47911 + ... + 57649.

It is an arithmetic number, because the mean of its divisors is an integer number (14317800).

Almost surely, 2514024420 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 514024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687254400).

514024420 is an abundant number, since it is smaller than the sum of its proper divisors (860484380).

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

514024420 is a wasteful number, since it uses less digits than its factorization.

514024420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9797 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 514024420 is about 22672.1066511253. The cubic root of 514024420 is about 801.0529988005.

Adding to 514024420 its reverse (24420415), we get a palindrome (538444835).

The spelling of 514024420 in words is "five hundred fourteen million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 52 58 65 70 91 116 130 140 145 182 203 260 290 364 377 406 455 580 754 812 910 1015 1508 1820 1885 2030 2639 3770 4060 5278 7540 9739 10556 13195 19478 26390 38956 48695 52780 68173 97390 126607 136346 194780 253214 272692 282431 340865 506428 564862 633035 681730 886249 1129724 1266070 1363460 1412155 1772498 1977017 2532140 2824310 3544996 3671603 3954034 4431245 5648620 7343206 7908068 8862490 9885085 14686412 17724980 18358015 19770170 25701221 36716030 39540340 51402442 73432060 102804884 128506105 257012210 514024420