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164320840 = 2354108021
BaseRepresentation
bin10011100101101…
…01011001001000
3102110012100211001
421302311121020
5314031231330
624145544344
74033463335
oct1162653110
9373170731
10164320840
1184833752
12470450b4
1328074388
1417b7598c
15e65c9ca
hex9cb5648

164320840 has 16 divisors (see below), whose sum is σ = 369721980. Its totient is φ = 65728320.

The previous prime is 164320823. The next prime is 164320843. The reversal of 164320840 is 48023461.

It can be written as a sum of positive squares in 2 ways, for example, as 151831684 + 12489156 = 12322^2 + 3534^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164320799 and 164320808.

It is not an unprimeable number, because it can be changed into a prime (164320843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2053971 + ... + 2054050.

Almost surely, 2164320840 is an apocalyptic number.

164320840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164320840 is an abundant number, since it is smaller than the sum of its proper divisors (205401140).

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

164320840 is a wasteful number, since it uses less digits than its factorization.

164320840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108032 (or 4108028 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 164320840 is about 12818.7690516679. The cubic root of 164320840 is about 547.7270827438.

The spelling of 164320840 in words is "one hundred sixty-four million, three hundred twenty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 4108021 8216042 16432084 20540105 32864168 41080210 82160420 164320840