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4130217 = 33713412
BaseRepresentation
bin1111110000010110101001
321202211121000
433300112221
52024131332
6224305213
750051310
oct17602651
97684530
104130217
112371103
121472209
13b17c20
14797277
15568b7c
hex3f05a9

4130217 has 48 divisors (see below), whose sum is σ = 7719040. Its totient is φ = 2125440.

The previous prime is 4130213. The next prime is 4130221. The reversal of 4130217 is 7120314.

It is an interprime number because it is at equal distance from previous prime (4130213) and next prime (4130221).

It is not a de Polignac number, because 4130217 - 22 = 4130213 is a prime.

4130217 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4130217.

It is not an unprimeable number, because it can be changed into a prime (4130213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100717 + ... + 100757.

Almost surely, 24130217 is an apocalyptic number.

It is an amenable number.

4130217 is a deficient number, since it is larger than the sum of its proper divisors (3588823).

4130217 is a wasteful number, since it uses less digits than its factorization.

4130217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4130217 is about 2032.2935319486. The cubic root of 4130217 is about 160.4442989524. Note that the first 3 decimals are identical.

The spelling of 4130217 in words is "four million, one hundred thirty thousand, two hundred seventeen".

Divisors: 1 3 7 9 13 21 27 39 41 63 91 117 123 189 273 287 351 369 533 819 861 1107 1599 1681 2457 2583 3731 4797 5043 7749 11193 11767 14391 15129 21853 33579 35301 45387 65559 100737 105903 152971 196677 317709 458913 590031 1376739 4130217