Search a number
-
+
2013024420 = 2233511338893
BaseRepresentation
bin111011111111100…
…0101000010100100
312012021212020101000
41313333011002210
513110313240140
6531430033300
7100612265601
oct16777050244
95167766330
102013024420
11943333050
124821a8830
13261087714
141514c96a8
15bbad6a30
hex77fc50a4

2013024420 has 96 divisors (see below), whose sum is σ = 6832103040. Its totient is φ = 488004480.

The previous prime is 2013024397. The next prime is 2013024427. The reversal of 2013024420 is 244203102.

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 = 2013024393 and 2013024402.

It is not an unprimeable number, because it can be changed into a prime (2013024427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163507 + ... + 175386.

It is an arithmetic number, because the mean of its divisors is an integer number (71167740).

Almost surely, 22013024420 is an apocalyptic number.

2013024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013024420 is an abundant number, since it is smaller than the sum of its proper divisors (4819078620).

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

2013024420 is a wasteful number, since it uses less digits than its factorization.

2013024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338922 (or 338914 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2013024420 is about 44866.7406883986. The cubic root of 2013024420 is about 1262.6500912301.

Adding to 2013024420 its reverse (244203102), we get a palindrome (2257227522).

The spelling of 2013024420 in words is "two billion, thirteen million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 338893 677786 1016679 1355572 1694465 2033358 3050037 3388930 3727823 4066716 5083395 6100074 6777860 7455646 9150111 10166790 11183469 12200148 14911292 15250185 18300222 18639115 20333580 22366938 30500370 33550407 36600444 37278230 44733876 45750555 55917345 61000740 67100814 74556460 91501110 100651221 111834690 134201628 167752035 183002220 201302442 223669380 335504070 402604884 503256105 671008140 1006512210 2013024420