Search a number
-
+
274741420 = 225171137151
BaseRepresentation
bin10000011000000…
…011100010101100
3201010222022101011
4100120003202230
51030313211140
643132355004
76544156252
oct2030034254
9633868334
10274741420
111310a2328
1278015a64
1344bc5cb5
14286ba5d2
15191becea
hex106038ac

274741420 has 48 divisors (see below), whose sum is σ = 616387968. Its totient is φ = 102502400.

The previous prime is 274741393. The next prime is 274741421. The reversal of 274741420 is 24147472.

274741420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (274741421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34845 + ... + 41995.

It is an arithmetic number, because the mean of its divisors is an integer number (12841416).

Almost surely, 2274741420 is an apocalyptic number.

274741420 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 274741420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308193984).

274741420 is an abundant number, since it is smaller than the sum of its proper divisors (341646548).

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

274741420 is a wasteful number, since it uses less digits than its factorization.

274741420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 31.

The square root of 274741420 is about 16575.3256378268. The cubic root of 274741420 is about 650.0918371225.

Adding to 274741420 its reverse (24147472), we get a palindrome (298888892).

The spelling of 274741420 in words is "two hundred seventy-four million, seven hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 1130 1921 2260 3842 7151 7684 9605 14302 19210 28604 35755 38420 71510 121567 143020 243134 486268 607835 808063 1215670 1616126 2431340 3232252 4040315 8080630 13737071 16161260 27474142 54948284 68685355 137370710 274741420