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2432113020 = 223354503913
BaseRepresentation
bin1001000011110111…
…0001100101111100
320021111110010212000
42100331301211330
514440110104040
61041200342300
7114161422341
oct22075614574
96244403760
102432113020
111038956567
1257a614990
132c9b5063c
1419101c7c8
15e37bb130
hex90f7197c

2432113020 has 48 divisors (see below), whose sum is σ = 7566575520. Its totient is φ = 648563328.

The previous prime is 2432112997. The next prime is 2432113051. The reversal of 2432113020 is 203112342.

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 = 2432112984 and 2432113002.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2251417 + ... + 2252496.

It is an arithmetic number, because the mean of its divisors is an integer number (157636990).

Almost surely, 22432113020 is an apocalyptic number.

2432113020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432113020 is an abundant number, since it is smaller than the sum of its proper divisors (5134462500).

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

2432113020 is a wasteful number, since it uses less digits than its factorization.

2432113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503931 (or 4503923 counting only the distinct ones).

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

The square root of 2432113020 is about 49316.4579020027. The cubic root of 2432113020 is about 1344.8109941107.

Adding to 2432113020 its reverse (203112342), we get a palindrome (2635225362).

The spelling of 2432113020 in words is "two billion, four hundred thirty-two million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4503913 9007826 13511739 18015652 22519565 27023478 40535217 45039130 54046956 67558695 81070434 90078260 121605651 135117390 162140868 202676085 243211302 270234780 405352170 486422604 608028255 810704340 1216056510 2432113020