Search a number
-
+
161468240 = 24510918517
BaseRepresentation
bin10011001111111…
…00111101010000
3102020211102210012
421213330331100
5312313440430
624004454052
74000312613
oct1147747520
9366742705
10161468240
118316552a
12460aa328
13275b5b4b
141763217a
15e297695
hex99fcf50

161468240 has 40 divisors (see below), whose sum is σ = 378878280. Its totient is φ = 63991296.

The previous prime is 161468233. The next prime is 161468267. The reversal of 161468240 is 42864161.

161468240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14961424 + 146506816 = 3868^2 + 12104^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 161468197 and 161468206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539 + ... + 17978.

It is an arithmetic number, because the mean of its divisors is an integer number (9471957).

Almost surely, 2161468240 is an apocalyptic number.

161468240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189439140).

161468240 is an abundant number, since it is smaller than the sum of its proper divisors (217410040).

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

161468240 is a wasteful number, since it uses less digits than its factorization.

161468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18639 (or 18633 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 161468240 is about 12707.0153852114. The cubic root of 161468240 is about 544.5390598056.

The spelling of 161468240 in words is "one hundred sixty-one million, four hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 18517 37034 74068 92585 148136 185170 296272 370340 740680 1481360 2018353 4036706 8073412 10091765 16146824 20183530 32293648 40367060 80734120 161468240