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164432541 = 3713602317
BaseRepresentation
bin10011100110100…
…00101010011101
3102110102001001010
421303100222131
5314043320131
624152205433
74034440110
oct1163205235
9373361033
10164432541
11848aa669
1247099879
13280b3180
1417ba4577
15e680b46
hex9cd0a9d

164432541 has 16 divisors (see below), whose sum is σ = 269838464. Its totient is φ = 86733504.

The previous prime is 164432533. The next prime is 164432563. The reversal of 164432541 is 145234461.

164432541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164432541 - 23 = 164432533 is a prime.

It is a super-3 number, since 3×1644325413 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164432499 and 164432508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164432501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300886 + ... + 301431.

It is an arithmetic number, because the mean of its divisors is an integer number (16864904).

Almost surely, 2164432541 is an apocalyptic number.

It is an amenable number.

164432541 is a deficient number, since it is larger than the sum of its proper divisors (105405923).

164432541 is a wasteful number, since it uses less digits than its factorization.

164432541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602340.

The product of its digits is 11520, while the sum is 30.

The square root of 164432541 is about 12823.1252430911. The cubic root of 164432541 is about 547.8511648036.

The spelling of 164432541 in words is "one hundred sixty-four million, four hundred thirty-two thousand, five hundred forty-one".

Divisors: 1 3 7 13 21 39 91 273 602317 1806951 4216219 7830121 12648657 23490363 54810847 164432541