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164580141 = 3118635779
BaseRepresentation
bin10011100111101…
…00101100101101
3102110200112111210
421303310230231
5314113031031
624155305033
74035623325
oct1163645455
9373615453
10164580141
11849a0550
124714b179
13281353cb
1417c02285
15e6ae746
hex9cf4b2d

164580141 has 16 divisors (see below), whose sum is σ = 239708160. Its totient is φ = 99612720.

The previous prime is 164580139. The next prime is 164580149. The reversal of 164580141 is 141085461.

It is not a de Polignac number, because 164580141 - 21 = 164580139 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164580099 and 164580108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164580149) 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, 25590 + ... + 31368.

It is an arithmetic number, because the mean of its divisors is an integer number (14981760).

Almost surely, 2164580141 is an apocalyptic number.

164580141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164580141 is a deficient number, since it is larger than the sum of its proper divisors (75128019).

164580141 is a wasteful number, since it uses less digits than its factorization.

164580141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6656.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 164580141 is about 12828.8791794139. The cubic root of 164580141 is about 548.0150387920.

The spelling of 164580141 in words is "one hundred sixty-four million, five hundred eighty thousand, one hundred forty-one".

Divisors: 1 3 11 33 863 2589 5779 9493 17337 28479 63569 190707 4987277 14961831 54860047 164580141