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415630201 = 7281110459
BaseRepresentation
bin11000110001100…
…000001101111001
31001222002012110011
4120301200031321
51322400131301
6105124221521
713204540600
oct3061401571
91058065404
10415630201
111a3681138
12b723a8a1
1368154a3c
143d2b2a37
152674ea51
hex18c60379

415630201 has 12 divisors (see below), whose sum is σ = 484130640. Its totient is φ = 355781160.

The previous prime is 415630183. The next prime is 415630223. The reversal of 415630201 is 102036514.

It is not a de Polignac number, because 415630201 - 221 = 413533049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (415630231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34510 + ... + 44968.

It is an arithmetic number, because the mean of its divisors is an integer number (40344220).

Almost surely, 2415630201 is an apocalyptic number.

It is an amenable number.

415630201 is a deficient number, since it is larger than the sum of its proper divisors (68500439).

415630201 is a wasteful number, since it uses less digits than its factorization.

415630201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11277 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 415630201 is about 20387.0105949842. The cubic root of 415630201 is about 746.2809672464.

Adding to 415630201 its reverse (102036514), we get a palindrome (517666715).

The spelling of 415630201 in words is "four hundred fifteen million, six hundred thirty thousand, two hundred one".

Divisors: 1 7 49 811 5677 10459 39739 73213 512491 8482249 59375743 415630201