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2406820840 = 235149403829
BaseRepresentation
bin1000111101110101…
…0010101111101000
320012201212011111121
42033131102233220
514412121231330
61034454305024
7113433432244
oct21735225750
96181764447
102406820840
111025651136
12572058174
132c4836458
1418b917424
15e147217a
hex8f752be8

2406820840 has 32 divisors (see below), whose sum is σ = 5451705000. Its totient is φ = 956264704.

The previous prime is 2406820831. The next prime is 2406820841. The reversal of 2406820840 is 480286042.

It can be written as a sum of positive squares in 4 ways, for example, as 1561988484 + 844832356 = 39522^2 + 29066^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2406820796 and 2406820805.

It is not an unprimeable number, because it can be changed into a prime (2406820841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195955 + ... + 207874.

Almost surely, 22406820840 is an apocalyptic number.

2406820840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2406820840 is an abundant number, since it is smaller than the sum of its proper divisors (3044884160).

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

2406820840 is a wasteful number, since it uses less digits than its factorization.

2406820840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403989 (or 403985 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 2406820840 is about 49059.3603708813. The cubic root of 2406820840 is about 1340.1330602256.

The spelling of 2406820840 in words is "two billion, four hundred six million, eight hundred twenty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 5960 403829 807658 1615316 2019145 3230632 4038290 8076580 16153160 60170521 120341042 240682084 300852605 481364168 601705210 1203410420 2406820840