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4006665 = 34513761
BaseRepresentation
bin1111010010001100001001
321112120010000
433102030021
52011203130
6221513213
746025145
oct17221411
97476100
104006665
1122972a3
121412809
13aa3910
14764225
15542260
hex3d2309

4006665 has 40 divisors (see below), whose sum is σ = 7744968. Its totient is φ = 1969920.

The previous prime is 4006661. The next prime is 4006687. The reversal of 4006665 is 5666004.

4006665 = T46 + T47 + ... + T288.

4006665 = 1072 + 1082 + ... + 2362.

It can be written as a sum of positive squares in 4 ways, for example, as 227529 + 3779136 = 477^2 + 1944^2 .

It is not a de Polignac number, because 4006665 - 22 = 4006661 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006661) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4885 + ... + 5645.

Almost surely, 24006665 is an apocalyptic number.

4006665 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4006665 is a deficient number, since it is larger than the sum of its proper divisors (3738303).

4006665 is a wasteful number, since it uses less digits than its factorization.

4006665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4006665 is about 2001.6655564804. The cubic root of 4006665 is about 158.8282231728.

The spelling of 4006665 in words is "four million, six thousand, six hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 761 1053 1755 2283 3805 5265 6849 9893 11415 20547 29679 34245 49465 61641 89037 102735 148395 267111 308205 445185 801333 1335555 4006665