Search a number
-
+
274160 = 24523149
BaseRepresentation
bin1000010111011110000
3111221002002
41002323300
532233120
65513132
72221205
oct1027360
9457062
10274160
11177a87
121127a8
1397a33
1471cac
1556375
hex42ef0

274160 has 40 divisors (see below), whose sum is σ = 669600. Its totient is φ = 104192.

The previous prime is 274147. The next prime is 274163. The reversal of 274160 is 61472.

274160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 274160.

It is not an unprimeable number, because it can be changed into a prime (274163) by changing a digit.

274160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1766 + ... + 1914.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2274160 is an apocalyptic number.

274160 is a gapful number since it is divisible by the number (20) 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 274160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800).

274160 is an abundant number, since it is smaller than the sum of its proper divisors (395440).

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

274160 is a wasteful number, since it uses less digits than its factorization.

274160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 274160 is about 523.6029029713. The cubic root of 274160 is about 64.9632928839.

It can be divided in two parts, 274 and 160, that added together give a palindrome (434).

The spelling of 274160 in words is "two hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 149 184 230 298 368 460 596 745 920 1192 1490 1840 2384 2980 3427 5960 6854 11920 13708 17135 27416 34270 54832 68540 137080 274160