Search a number
-
+
273978 = 23231491
BaseRepresentation
bin1000010111000111010
3111220211100
41002320322
532231403
65512230
72220525
oct1027072
9456740
10273978
11177931
12112676
1397923
1471bbc
15562a3
hex42e3a

273978 has 24 divisors (see below), whose sum is σ = 614016. Its totient is φ = 88200.

The previous prime is 273971. The next prime is 273979. The reversal of 273978 is 879372.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (273971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (25584).

2273978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307008).

273978 is an abundant number, since it is smaller than the sum of its proper divisors (340038).

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

273978 is a wasteful number, since it uses less digits than its factorization.

273978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 527 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 273978 is about 523.4290782905. The cubic root of 273978 is about 64.9489144960.

It can be divided in two parts, 27 and 3978, that added together give a triangular number (4005 = T89).

The spelling of 273978 in words is "two hundred seventy-three thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 491 558 982 1473 2946 4419 8838 15221 30442 45663 91326 136989 273978