Search a number
-
+
273480 = 23354353
BaseRepresentation
bin1000010110001001000
3111220010220
41002301020
532222410
65510040
72216214
oct1026110
9456126
10273480
11177519
12112320
139762c
1471944
1556070
hex42c48

273480 has 64 divisors (see below), whose sum is σ = 855360. Its totient is φ = 69888.

The previous prime is 273473. The next prime is 273503. The reversal of 273480 is 84372.

273480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 273480.

It is an unprimeable number.

273480 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 15 ways as a sum of consecutive naturals, for example, 5134 + ... + 5186.

It is an arithmetic number, because the mean of its divisors is an integer number (13365).

2273480 is an apocalyptic number.

273480 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 273480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427680).

273480 is an abundant number, since it is smaller than the sum of its proper divisors (581880).

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

273480 is a wasteful number, since it uses less digits than its factorization.

273480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 273480 is about 522.9531527776. The cubic root of 273480 is about 64.9095388570.

The spelling of 273480 in words is "two hundred seventy-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 53 60 86 106 120 129 159 172 212 215 258 265 318 344 424 430 516 530 636 645 795 860 1032 1060 1272 1290 1590 1720 2120 2279 2580 3180 4558 5160 6360 6837 9116 11395 13674 18232 22790 27348 34185 45580 54696 68370 91160 136740 273480