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514101420 = 2232571724001
BaseRepresentation
bin11110101001001…
…001000010101100
31022211101001120100
4132221021002230
52023102221140
6123002551100
715511534650
oct3651110254
91284331510
10514101420
11244219008
12124208490
1382681731
144c3c6a60
1530201530
hex1ea490ac

514101420 has 144 divisors (see below), whose sum is σ = 1887133248. Its totient is φ = 110592000.

The previous prime is 514101409. The next prime is 514101433. The reversal of 514101420 is 24101415.

514101420 is a `hidden beast` number, since 514 + 10 + 142 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 514101393 and 514101402.

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, 9420 + ... + 33420.

It is an arithmetic number, because the mean of its divisors is an integer number (13105092).

Almost surely, 2514101420 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 514101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943566624).

514101420 is an abundant number, since it is smaller than the sum of its proper divisors (1373031828).

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

514101420 is a wasteful number, since it uses less digits than its factorization.

514101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24040 (or 24035 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 514101420 is about 22673.8047093998. The cubic root of 514101420 is about 801.0929956040.

Adding to 514101420 its reverse (24101415), we get a palindrome (538202835).

The spelling of 514101420 in words is "five hundred fourteen million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 24001 48002 72003 96004 120005 144006 168007 216009 240010 288012 336014 360015 408017 432018 480020 504021 672028 720030 816034 840035 864036 1008042 1080045 1224051 1440060 1512063 1632068 1680070 2016084 2040085 2160090 2448102 2520105 2856119 3024126 3360140 3672153 4080170 4320180 4896204 5040210 5712238 6048252 6120255 7344306 7560315 8160340 8568357 10080420 11424476 12240510 14280595 14688612 15120630 17136714 18360765 24481020 25705071 28561190 30241260 34273428 36721530 42841785 51410142 57122380 73443060 85683570 102820284 128525355 171367140 257050710 514101420