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164135405 = 578356501
BaseRepresentation
bin10011100100010…
…00000111101101
3102102211221110002
421302020013231
5314004313110
624141554045
74032061610
oct1162100755
9372757402
10164135405
11847173a5
1246b75925
132800ab55
1417b28177
15e622aa5
hex9c881ed

164135405 has 16 divisors (see below), whose sum is σ = 227816064. Its totient is φ = 111192000.

The previous prime is 164135393. The next prime is 164135417. The reversal of 164135405 is 504531461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (164135393) and next prime (164135417).

It is not a de Polignac number, because 164135405 - 212 = 164131309 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25346 + ... + 31155.

It is an arithmetic number, because the mean of its divisors is an integer number (14238504).

Almost surely, 2164135405 is an apocalyptic number.

It is an amenable number.

164135405 is a deficient number, since it is larger than the sum of its proper divisors (63680659).

164135405 is an equidigital number, since it uses as much as digits as its factorization.

164135405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56596.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 164135405 is about 12811.5340611497. The cubic root of 164135405 is about 547.5209697076.

Adding to 164135405 its reverse (504531461), we get a palindrome (668666866).

The spelling of 164135405 in words is "one hundred sixty-four million, one hundred thirty-five thousand, four hundred five".

Divisors: 1 5 7 35 83 415 581 2905 56501 282505 395507 1977535 4689583 23447915 32827081 164135405