Search a number
-
+
4065400605 = 357315921169
BaseRepresentation
bin1111001001010001…
…0001011100011101
3101111022202202012210
43302110101130131
531311220304410
61511223351033
7202513222620
oct36224213435
911438682183
104065400605
1117a68a3712
129555b2479
134ca33c8b6
142a7cd9db7
1518bd93220
hexf251171d

4065400605 has 64 divisors (see below), whose sum is σ = 7804108800. Its totient is φ = 1767951360.

The previous prime is 4065400601. The next prime is 4065400639. The reversal of 4065400605 is 5060045604.

4065400605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4065400605 - 22 = 4065400601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4065400601) 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, 181461 + ... + 202629.

It is an arithmetic number, because the mean of its divisors is an integer number (121939200).

Almost surely, 24065400605 is an apocalyptic number.

It is an amenable number.

4065400605 is a deficient number, since it is larger than the sum of its proper divisors (3738708195).

4065400605 is a wasteful number, since it uses less digits than its factorization.

4065400605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21274.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4065400605 is about 63760.4940774458. The cubic root of 4065400605 is about 1596.0057407567.

The spelling of 4065400605 in words is "four billion, sixty-five million, four hundred thousand, six hundred five".

Divisors: 1 3 5 7 15 21 31 35 59 93 105 155 177 217 295 413 465 651 885 1085 1239 1829 2065 3255 5487 6195 9145 12803 21169 27435 38409 63507 64015 105845 148183 192045 317535 444549 656239 740915 1248971 1968717 2222745 3281195 3746913 4593673 6244855 8742797 9843585 13781019 18734565 22968365 26228391 38718101 43713985 68905095 116154303 131141955 193590505 271026707 580771515 813080121 1355133535 4065400605