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164316420 = 22325912869
BaseRepresentation
bin10011100101101…
…00010100000100
3102110012010202100
421302310110010
5314031111140
624145512100
74033444422
oct1162642404
9373163670
10164316420
11848303a4
1247042630
1328072368
1417b74112
15e65b530
hex9cb4504

164316420 has 36 divisors (see below), whose sum is σ = 498427020. Its totient is φ = 43817664.

The previous prime is 164316419. The next prime is 164316443. The reversal of 164316420 is 24613461.

164316420 is a `hidden beast` number, since 1 + 643 + 16 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62346816 + 101969604 = 7896^2 + 10098^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456255 + ... + 456614.

It is an arithmetic number, because the mean of its divisors is an integer number (13845195).

Almost surely, 2164316420 is an apocalyptic number.

164316420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164316420 is an abundant number, since it is smaller than the sum of its proper divisors (334110600).

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

164316420 is a wasteful number, since it uses less digits than its factorization.

164316420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912884 (or 912879 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 164316420 is about 12818.5966470593. The cubic root of 164316420 is about 547.7221716698.

Adding to 164316420 its reverse (24613461), we get a palindrome (188929881).

The spelling of 164316420 in words is "one hundred sixty-four million, three hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 912869 1825738 2738607 3651476 4564345 5477214 8215821 9128690 10954428 13693035 16431642 18257380 27386070 32863284 41079105 54772140 82158210 164316420