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2001520417 = 13433355573
BaseRepresentation
bin111011101001100…
…1100011100100001
312011111012202211211
41313103030130201
513044342123132
6530335310121
7100412433331
oct16723143441
95144182754
102001520417
11937895a06
1247a37b341
1325b88a410
1414db730c1
15baab3147
hex774cc721

2001520417 has 8 divisors (see below), whose sum is σ = 2160467624. Its totient is φ = 1843285248.

The previous prime is 2001520403. The next prime is 2001520429. The reversal of 2001520417 is 7140251002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 193655056 + 1807865361 = 13916^2 + 42519^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2001520417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001529417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172158 + ... + 183415.

It is an arithmetic number, because the mean of its divisors is an integer number (270058453).

Almost surely, 22001520417 is an apocalyptic number.

It is an amenable number.

2001520417 is a deficient number, since it is larger than the sum of its proper divisors (158947207).

2001520417 is a wasteful number, since it uses less digits than its factorization.

2001520417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356019.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 2001520417 is about 44738.3550993999. The cubic root of 2001520417 is about 1260.2402365895.

Adding to 2001520417 its reverse (7140251002), we get a palindrome (9141771419).

The spelling of 2001520417 in words is "two billion, one million, five hundred twenty thousand, four hundred seventeen".

Divisors: 1 13 433 5629 355573 4622449 153963109 2001520417