Search a number
-
+
10217268 = 2232283813
BaseRepresentation
bin100110111110…
…011100110100
3201020002110100
4212332130310
510103423033
61002554100
7152562645
oct46763464
921202410
1010217268
115849426
123508930
132169729
1414dd6cc
15d6c513
hex9be734

10217268 has 18 divisors (see below), whose sum is σ = 25827074. Its totient is φ = 3405744.

The previous prime is 10217243. The next prime is 10217279. The reversal of 10217268 is 86271201.

It can be written as a sum of positive squares in only one way, i.e., 9998244 + 219024 = 3162^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141871 + ... + 141942.

Almost surely, 210217268 is an apocalyptic number.

10217268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10217268 is an abundant number, since it is smaller than the sum of its proper divisors (15609806).

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

10217268 is a wasteful number, since it uses less digits than its factorization.

10217268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283823 (or 283818 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10217268 is about 3196.4461515877. The cubic root of 10217268 is about 216.9926024080.

Adding to 10217268 its reverse (86271201), we get a palindrome (96488469).

The spelling of 10217268 in words is "ten million, two hundred seventeen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 283813 567626 851439 1135252 1702878 2554317 3405756 5108634 10217268