Search a number
-
+
164154640 = 24513157841
BaseRepresentation
bin10011100100011…
…00110100010000
3102102212220211111
421302030310100
5314010422030
624142223104
74032201646
oct1162146420
9372786744
10164154640
118472a8a1
1246b84a94
1328016830
1417b31196
15e62862a
hex9c8cd10

164154640 has 40 divisors (see below), whose sum is σ = 411020568. Its totient is φ = 60610560.

The previous prime is 164154631. The next prime is 164154671. The reversal of 164154640 is 46451461.

It can be written as a sum of positive squares in 4 ways, for example, as 7203856 + 156950784 = 2684^2 + 12528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77881 + ... + 79960.

Almost surely, 2164154640 is an apocalyptic number.

164154640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164154640 is an abundant number, since it is smaller than the sum of its proper divisors (246865928).

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

164154640 is a wasteful number, since it uses less digits than its factorization.

164154640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157867 (or 157861 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 164154640 is about 12812.2847298989. The cubic root of 164154640 is about 547.5423568351.

The spelling of 164154640 in words is "one hundred sixty-four million, one hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 157841 315682 631364 789205 1262728 1578410 2051933 2525456 3156820 4103866 6313640 8207732 10259665 12627280 16415464 20519330 32830928 41038660 82077320 164154640