[go: up one dir, main page]

Search a number
-
+
2014312524 = 2237171499467
BaseRepresentation
bin111100000001111…
…1111100001001100
312012101021200022120
41320003333201030
513111131000044
6531513412540
7100626242160
oct17003774114
95171250276
102014312524
119440328a4
1248270a150
13261418b03
14151742ca0
15bbc8d519
hex780ff84c

2014312524 has 96 divisors (see below), whose sum is σ = 5726246400. Its totient is φ = 537971712.

The previous prime is 2014312519. The next prime is 2014312571. The reversal of 2014312524 is 4252134102.

It is a junction number, because it is equal to n+sod(n) for n = 2014312494 and 2014312503.

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, 208039 + ... + 217505.

It is an arithmetic number, because the mean of its divisors is an integer number (59648400).

Almost surely, 22014312524 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 2014312524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863123200).

2014312524 is an abundant number, since it is smaller than the sum of its proper divisors (3711933876).

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

2014312524 is a wasteful number, since it uses less digits than its factorization.

2014312524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9647 (or 9645 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2014312524 is about 44881.0931685047. The cubic root of 2014312524 is about 1262.9193507304.

Adding to 2014312524 its reverse (4252134102), we get a palindrome (6266446626).

The spelling of 2014312524 in words is "two billion, fourteen million, three hundred twelve thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 149 204 238 298 357 447 476 596 714 894 1043 1428 1788 2086 2533 3129 4172 5066 6258 7599 9467 10132 12516 15198 17731 18934 28401 30396 35462 37868 53193 56802 66269 70924 106386 113604 132538 160939 198807 212772 265076 321878 397614 482817 643756 795228 965634 1126573 1410583 1931268 2253146 2821166 3379719 4231749 4506292 5642332 6759438 8463498 9874081 13518876 16926996 19748162 23979911 29622243 39496324 47959822 59244486 71939733 95919644 118488972 143879466 167859377 287758932 335718754 503578131 671437508 1007156262 2014312524