Search a number
-
+
249705320 = 2356242633
BaseRepresentation
bin11101110001000…
…11001101101000
3122101212100022012
432320203031220
51002411032240
640440015052
76121313564
oct1670431550
9571770265
10249705320
11118a52337
126b761488
133c96b537
14252406a4
1516dc6b65
hexee23368

249705320 has 16 divisors (see below), whose sum is σ = 561837060. Its totient is φ = 99882112.

The previous prime is 249705307. The next prime is 249705331. The reversal of 249705320 is 23507942.

It is a happy number.

249705320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 249703204 + 2116 = 15802^2 + 46^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3121277 + ... + 3121356.

Almost surely, 2249705320 is an apocalyptic number.

249705320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249705320 is an abundant number, since it is smaller than the sum of its proper divisors (312131740).

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

249705320 is a wasteful number, since it uses less digits than its factorization.

249705320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242644 (or 6242640 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 249705320 is about 15802.0669534083. The cubic root of 249705320 is about 629.7129119431.

The spelling of 249705320 in words is "two hundred forty-nine million, seven hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 6242633 12485266 24970532 31213165 49941064 62426330 124852660 249705320