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164106315 = 32510136107
BaseRepresentation
bin10011100100000…
…01000001001011
3102102210110112200
421302001001023
5314002400230
624141211243
74031611032
oct1162010113
9372713480
10164106315
11846a755a
1246b60b23
1327cca839
1417b1b719
15e619160
hex9c8104b

164106315 has 24 divisors (see below), whose sum is σ = 287275248. Its totient is φ = 86654400.

The previous prime is 164106307. The next prime is 164106329. The reversal of 164106315 is 513601461.

164106315 is a `hidden beast` number, since 1 + 641 + 0 + 6 + 3 + 15 = 666.

It is not a de Polignac number, because 164106315 - 23 = 164106307 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13509 + ... + 22598.

It is an arithmetic number, because the mean of its divisors is an integer number (11969802).

Almost surely, 2164106315 is an apocalyptic number.

164106315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164106315 is a deficient number, since it is larger than the sum of its proper divisors (123168933).

164106315 is a wasteful number, since it uses less digits than its factorization.

164106315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36219 (or 36216 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 164106315 is about 12810.3987057390. The cubic root of 164106315 is about 547.4886217689.

Adding to 164106315 its reverse (513601461), we get a palindrome (677707776).

The spelling of 164106315 in words is "one hundred sixty-four million, one hundred six thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 45 101 303 505 909 1515 4545 36107 108321 180535 324963 541605 1624815 3646807 10940421 18234035 32821263 54702105 164106315