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4132065 = 357232959
BaseRepresentation
bin1111110000110011100001
321202221010110
433300303201
52024211230
6224321533
750056560
oct17606341
97687113
104132065
112372533
1214732a9
13b18a12
14797bd7
155694b0
hex3f0ce1

4132065 has 64 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 1714944.

The previous prime is 4132061. The next prime is 4132067. The reversal of 4132065 is 5602314.

It is a happy number.

It is not a de Polignac number, because 4132065 - 22 = 4132061 is a prime.

It is a super-2 number, since 2×41320652 = 34147922328450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70006 + ... + 70064.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

Almost surely, 24132065 is an apocalyptic number.

It is an amenable number.

4132065 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

4132065 is a wasteful number, since it uses less digits than its factorization.

4132065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4132065 is about 2032.7481398343. The cubic root of 4132065 is about 160.4682248022.

Adding to 4132065 its reverse (5602314), we get a palindrome (9734379).

The spelling of 4132065 in words is "four million, one hundred thirty-two thousand, sixty-five".

Divisors: 1 3 5 7 15 21 23 29 35 59 69 87 105 115 145 161 177 203 295 345 413 435 483 609 667 805 885 1015 1239 1357 1711 2001 2065 2415 3045 3335 4071 4669 5133 6195 6785 8555 9499 10005 11977 14007 20355 23345 25665 28497 35931 39353 47495 59885 70035 118059 142485 179655 196765 275471 590295 826413 1377355 4132065