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164180653 = 71319269353
BaseRepresentation
bin10011100100100…
…11001010101101
3102102221020111221
421302103022231
5314012240103
624142543341
74032340540
oct1162231255
9372836457
10164180653
118474839a
1246b97b51
1328025620
1417b3a857
15e6311bd
hex9c932ad

164180653 has 32 divisors (see below), whose sum is σ = 214099200. Its totient is φ = 122259456.

The previous prime is 164180617. The next prime is 164180659. The reversal of 164180653 is 356081461.

It is a happy number.

164180653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164180653 - 213 = 164172461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164180659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464925 + ... + 465277.

It is an arithmetic number, because the mean of its divisors is an integer number (6690600).

Almost surely, 2164180653 is an apocalyptic number.

164180653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164180653 is a deficient number, since it is larger than the sum of its proper divisors (49918547).

164180653 is a wasteful number, since it uses less digits than its factorization.

164180653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 164180653 is about 12813.2998482046. The cubic root of 164180653 is about 547.5712776686.

The spelling of 164180653 in words is "one hundred sixty-four million, one hundred eighty thousand, six hundred fifty-three".

Divisors: 1 7 13 19 91 133 247 269 353 1729 1883 2471 3497 4589 5111 6707 24479 32123 35777 46949 66443 87191 94957 465101 610337 664699 1234441 1804183 8641087 12629281 23454379 164180653