Search a number
-
+
2432130120 = 233257965131
BaseRepresentation
bin1001000011110111…
…0101110001001000
320021111111000022100
42100331311301020
514440111130440
61041200553400
7114161523240
oct22075656110
96244430270
102432130120
1110389683a2
1257a622860
132c9b58364
14191024b20
15e37c1230
hex90f75c48

2432130120 has 96 divisors (see below), whose sum is σ = 9033635520. Its totient is φ = 555914880.

The previous prime is 2432130097. The next prime is 2432130133. The reversal of 2432130120 is 210312342.

2432130120 is a `hidden beast` number, since 24 + 321 + 301 + 20 = 666.

It is a super-2 number, since 2×24321301202 = 11830513841222428800, which contains 22 as substring.

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 = 2432130093 and 2432130102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480046 + ... + 485085.

It is an arithmetic number, because the mean of its divisors is an integer number (94100370).

Almost surely, 22432130120 is an apocalyptic number.

2432130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432130120 is an abundant number, since it is smaller than the sum of its proper divisors (6601505400).

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

2432130120 is a wasteful number, since it uses less digits than its factorization.

2432130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965155 (or 965148 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2432130120 is about 49316.6312718134. The cubic root of 2432130120 is about 1344.8141458577.

Adding to 2432130120 its reverse (210312342), we get a palindrome (2642442462).

The spelling of 2432130120 in words is "two billion, four hundred thirty-two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 965131 1930262 2895393 3860524 4825655 5790786 6755917 7721048 8686179 9651310 11581572 13511834 14476965 17372358 19302620 20267751 23163144 27023668 28953930 33779585 34744716 38605240 40535502 43430895 54047336 57907860 60803253 67559170 69489432 81071004 86861790 101338755 115815720 121606506 135118340 162142008 173723580 202677510 243213012 270236680 304016265 347447160 405355020 486426024 608032530 810710040 1216065060 2432130120