Search a number
-
+
4194560 = 28529113
BaseRepresentation
bin10000000000000100000000
321220002212002
4100000010000
52033211220
6225523132
750440016
oct20000400
97802762
104194560
112405487
1214a34a8
13b3b2b6
147b28b6
1557cc75
hex400100

4194560 has 72 divisors (see below), whose sum is σ = 10485720. Its totient is φ = 1605632.

The previous prime is 4194559. The next prime is 4194581. The reversal of 4194560 is 654914.

4194560 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 4194304 = 16^2 + 2048^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37064 + ... + 37176.

It is an arithmetic number, because the mean of its divisors is an integer number (145635).

Almost surely, 24194560 is an apocalyptic number.

4194560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242860).

4194560 is an abundant number, since it is smaller than the sum of its proper divisors (6291160).

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

4194560 is a wasteful number, since it uses less digits than its factorization.

4194560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 4194560 is about 2048.0624990464. The cubic root of 4194560 is about 161.2731753642.

The spelling of 4194560 in words is "four million, one hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 113 116 128 145 160 226 232 256 290 320 452 464 565 580 640 904 928 1130 1160 1280 1808 1856 2260 2320 3277 3616 3712 4520 4640 6554 7232 7424 9040 9280 13108 14464 16385 18080 18560 26216 28928 32770 36160 37120 52432 65540 72320 104864 131080 144640 209728 262160 419456 524320 838912 1048640 2097280 4194560