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200960417 = 7217241249
BaseRepresentation
bin10111111101001…
…10100110100001
3112000010211212102
423332212212201
5402421213132
631535140145
74660064300
oct1376464641
9460124772
10200960417
11a3489599
1257374655
13328324b8
141c992437
1512998c62
hexbfa69a1

200960417 has 12 divisors (see below), whose sum is σ = 247522500. Its totient is φ = 162118656.

The previous prime is 200960411. The next prime is 200960447. The reversal of 200960417 is 714069002.

It can be written as a sum of positive squares in 2 ways, for example, as 133079296 + 67881121 = 11536^2 + 8239^2 .

It is not a de Polignac number, because 200960417 - 28 = 200960161 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 200960417.

It is not an unprimeable number, because it can be changed into a prime (200960411) 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, 119792 + ... + 121457.

It is an arithmetic number, because the mean of its divisors is an integer number (20626875).

Almost surely, 2200960417 is an apocalyptic number.

It is an amenable number.

200960417 is a deficient number, since it is larger than the sum of its proper divisors (46562083).

200960417 is a wasteful number, since it uses less digits than its factorization.

200960417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241280 (or 241273 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 200960417 is about 14176.0508252475. The cubic root of 200960417 is about 585.7381453440.

It can be divided in two parts, 2009 and 60417, that added together give a palindrome (62426).

The spelling of 200960417 in words is "two hundred million, nine hundred sixty thousand, four hundred seventeen".

Divisors: 1 7 17 49 119 833 241249 1688743 4101233 11821201 28708631 200960417