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2431640620 = 225319740433
BaseRepresentation
bin1001000011101111…
…1110010000101100
320021110120010211201
42100323332100230
514434444444440
61041142255244
7114154414153
oct22073762054
96243503751
102431640620
111038663652
1257a427524
132c9a16606
14190d3859a
15e372619a
hex90efe42c

2431640620 has 48 divisors (see below), whose sum is σ = 5325643008. Its totient is φ = 931553280.

The previous prime is 2431640599. The next prime is 2431640623. The reversal of 2431640620 is 260461342.

2431640620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24316406202 = 11825752209667968800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2431640623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39924 + ... + 80356.

It is an arithmetic number, because the mean of its divisors is an integer number (110950896).

Almost surely, 22431640620 is an apocalyptic number.

2431640620 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 2431640620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662821504).

2431640620 is an abundant number, since it is smaller than the sum of its proper divisors (2894002388).

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

2431640620 is a wasteful number, since it uses less digits than its factorization.

2431640620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40570 (or 40568 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2431640620 is about 49311.6681932380. The cubic root of 2431640620 is about 1344.7239189564.

The spelling of 2431640620 in words is "two billion, four hundred thirty-one million, six hundred forty thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 97 124 155 194 310 388 485 620 970 1940 3007 6014 12028 15035 30070 40433 60140 80866 161732 202165 404330 808660 1253423 2506846 3922001 5013692 6267115 7844002 12534230 15688004 19610005 25068460 39220010 78440020 121582031 243164062 486328124 607910155 1215820310 2431640620