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2432041140 = 223531242179
BaseRepresentation
bin1001000011110110…
…0000000010110100
320021111022111020210
42100331200002310
514440100304030
61041155025420
7114161002644
oct22075400264
96244274223
102432041140
111038907561
1257a59b270
132c9b269c9
14191000524
15e37a4bb0
hex90f600b4

2432041140 has 72 divisors (see below), whose sum is σ = 7036636320. Its totient is φ = 627608640.

The previous prime is 2432041127. The next prime is 2432041151. The reversal of 2432041140 is 411402342.

It is a congruent number.

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, 36571 + ... + 78749.

It is an arithmetic number, because the mean of its divisors is an integer number (97731060).

Almost surely, 22432041140 is an apocalyptic number.

2432041140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2432041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518318160).

2432041140 is an abundant number, since it is smaller than the sum of its proper divisors (4604595180).

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

2432041140 is a wasteful number, since it uses less digits than its factorization.

2432041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42253 (or 42220 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2432041140 is about 49315.7291338169. The cubic root of 2432041140 is about 1344.7977455534.

Adding to 2432041140 its reverse (411402342), we get a palindrome (2843443482).

The spelling of 2432041140 in words is "two billion, four hundred thirty-two million, forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 961 1860 1922 2883 3844 4805 5766 9610 11532 14415 19220 28830 42179 57660 84358 126537 168716 210895 253074 421790 506148 632685 843580 1265370 1307549 2530740 2615098 3922647 5230196 6537745 7845294 13075490 15690588 19613235 26150980 39226470 40534019 78452940 81068038 121602057 162136076 202670095 243204114 405340190 486408228 608010285 810680380 1216020570 2432041140