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4160064 = 26347461
BaseRepresentation
bin1111110111101001000000
321211100112110
433313221000
52031110224
6225055320
750234316
oct17675100
97740473
104160064
112391577
121487540
13b2869c
147a40b6
15572929
hex3f7a40

4160064 has 56 divisors (see below), whose sum is σ = 11265408. Its totient is φ = 1354240.

The previous prime is 4160063. The next prime is 4160077. The reversal of 4160064 is 4600614.

It is a super-2 number, since 2×41600642 = 34612264968192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4160064.

It is not an unprimeable number, because it can be changed into a prime (4160063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8794 + ... + 9254.

It is an arithmetic number, because the mean of its divisors is an integer number (201168).

Almost surely, 24160064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632704).

4160064 is an abundant number, since it is smaller than the sum of its proper divisors (7105344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4160064 is a wasteful number, since it uses less digits than its factorization.

4160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4160064 is about 2039.6234946676. The cubic root of 4160064 is about 160.8298551036.

Adding to 4160064 its reverse (4600614), we get a palindrome (8760678).

The spelling of 4160064 in words is "four million, one hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 461 564 752 922 1128 1383 1504 1844 2256 2766 3008 3688 4512 5532 7376 9024 11064 14752 21667 22128 29504 43334 44256 65001 86668 88512 130002 173336 260004 346672 520008 693344 1040016 1386688 2080032 4160064