Search a number
-
+
164154580 = 22528129209
BaseRepresentation
bin10011100100011…
…00110011010100
3102102212220202021
421302030303110
5314010421310
624142222524
74032201532
oct1162146324
9372786667
10164154580
118472a847
1246b84a44
13280167b5
1417b31152
15e6285da
hex9c8ccd4

164154580 has 24 divisors (see below), whose sum is σ = 345963240. Its totient is φ = 65425920.

The previous prime is 164154569. The next prime is 164154581. The reversal of 164154580 is 85451461.

It can be written as a sum of positive squares in 4 ways, for example, as 21399876 + 142754704 = 4626^2 + 11948^2 .

It is a super-2 number, since 2×1641545802 = 53893452269952800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164154581) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8985 + ... + 20224.

It is an arithmetic number, because the mean of its divisors is an integer number (14415135).

Almost surely, 2164154580 is an apocalyptic number.

164154580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164154580 is an abundant number, since it is smaller than the sum of its proper divisors (181808660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164154580 is a wasteful number, since it uses less digits than its factorization.

164154580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29499 (or 29497 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 164154580 is about 12812.2823883959. The cubic root of 164154580 is about 547.5422901245.

The spelling of 164154580 in words is "one hundred sixty-four million, one hundred fifty-four thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 281 562 1124 1405 2810 5620 29209 58418 116836 146045 292090 584180 8207729 16415458 32830916 41038645 82077290 164154580