Search a number
-
+
401241320 = 23537271109
BaseRepresentation
bin10111111010100…
…111010011101000
31000222000011121122
4113322213103220
51310204210240
6103451554412
712641331524
oct2772472350
91028004548
10401241320
111965435a7
12b245ba08
13651875cc
143b408d84
152535b4b5
hex17ea74e8

401241320 has 32 divisors (see below), whose sum is σ = 927196200. Its totient is φ = 156158208.

The previous prime is 401241311. The next prime is 401241331. The reversal of 401241320 is 23142104.

It can be written as a sum of positive squares in 4 ways, for example, as 319193956 + 82047364 = 17866^2 + 9058^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134075 + ... + 137034.

Almost surely, 2401241320 is an apocalyptic number.

401241320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401241320 is an abundant number, since it is smaller than the sum of its proper divisors (525954880).

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

401241320 is a wasteful number, since it uses less digits than its factorization.

401241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271157 (or 271153 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 401241320 is about 20031.0089611083. The cubic root of 401241320 is about 737.5676896599.

Adding to 401241320 its reverse (23142104), we get a palindrome (424383424).

The spelling of 401241320 in words is "four hundred one million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 271109 542218 1084436 1355545 2168872 2711090 5422180 10031033 10844360 20062066 40124132 50155165 80248264 100310330 200620660 401241320