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4145460 = 2235112571
BaseRepresentation
bin1111110100000100110100
321210121111120
433310010310
52030123320
6224503540
750143614
oct17640464
97717446
104145460
112381600
12147abb0
13b21b47
1479ca44
1556d440
hex3f4134

4145460 has 72 divisors (see below), whose sum is σ = 12780768. Its totient is φ = 1003200.

The previous prime is 4145459. The next prime is 4145473. The reversal of 4145460 is 645414.

4145460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41454602 = 34369677223200, 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 4145460.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6975 + ... + 7545.

Almost surely, 24145460 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 4145460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390384).

4145460 is an abundant number, since it is smaller than the sum of its proper divisors (8635308).

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

4145460 is a wasteful number, since it uses less digits than its factorization.

4145460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4145460 is about 2036.0402746508. The cubic root of 4145460 is about 160.6414354836.

It can be divided in two parts, 41454 and 60, that added together give a palindrome (41514).

The spelling of 4145460 in words is "four million, one hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 571 605 660 726 1142 1210 1452 1713 1815 2284 2420 2855 3426 3630 5710 6281 6852 7260 8565 11420 12562 17130 18843 25124 31405 34260 37686 62810 69091 75372 94215 125620 138182 188430 207273 276364 345455 376860 414546 690910 829092 1036365 1381820 2072730 4145460